Least common multiple (LCM) + prime numbers - practice problems
Number of problems found: 123
- Determine 6
Determine the least common denominator 3/4 and -5/6
- Mr. Product
The product of the ages of all of Mr. Product children's is 1408. The age of the youngest child is equal to half the age of the oldest child. How many children does Mr. Product have and how old are they?
- Lcm and hcf
If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a = …
- The tailor
The tailor estimated the rest of the fabric in the package at 11 m. By measuring, he found that he could cut the same pieces of this fabric without a residue in 150 cm or 210 cm increments. How many meters of fabric was in the package?
Marie-Pier, Frédéric and Simon bump into each other in the street on a Tuesday while the three of them are running. Marie-Pier trains every 3 days, Frédéric every 4 days and Simon every Tuesday. If they all keep up with their training pace, in how many da
- Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.
- Athletics team
All athletes in the athletics team from Ostrava can start in four, five, six and seven stages, and no one will be present. How many average athletes are in one athletic group if there are a total of twelve groups in the section? Consider the smallest numb
- A number 5
A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number.
- The drama club
The drama club meets in the auditorium every 6 days and the choir meets there every 5 days. If the groups are both meeting in the auditorium today, then how many days from now will they next have to share the auditorium?
- A rope
A rope can be cut into equal length with no rope left over. The lengths can be 15cm,18cm or 25cm. What is the shortest possible length of the rope?
- Lcm to eliminate y
Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28
- Find unknown number
What is the number between 50 and 55 that is divisible by 2,3,6,9?
- Coloured numbers
Mussel wrote four different natural numbers with coloured markers: red, blue, green and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div
- Two hundred
Two hundred ten athletes competed in three athletics races on three fields. One hundred five athletes competed in the first, 60 in the second, and everyone else in the third. On the individual courts, the athletes were divided into groups. Each group, alt
- The classroom
The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Determine the width of the classroom.
- Summer camp
Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one
- Tractor wheels
The front wheel of the tractor has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again?
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui
- Two gears
Two gears with 13 and 7 teeth rotate locked into each other. How many turns does a big wheel have to make for both wheels to be in the starting position again?
- Three ships
There are three ships moored in the port, which sail together. The first ship returns after two weeks, the second after four weeks, and the third after eight weeks. In how many weeks the ships will meet in the port for the first time? How many times have
Do you want to calculate least common multiple two or more numbers? Least common multiple (LCM) - practice problems. Prime numbers - practice problems.