# Least common multiple (LCM) - practice problems

#### Number of problems found: 132

- 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? - Find whole

Find whole numbers between 155 and 232 is divisible by 2, 5 and 10. - 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

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 - Dividing

When dividing the tangerines into packages of 8 or 10, one always remained. How many were there if there were more than 250 and less than 300? - 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? - Per shift

Two cars take beets from the same field to the sugar factory. Both drive at the same average speed. A car with mechanical tipping needs 15 minutes to travel to the sugar factory and back. A car that does not have a mechanical tipping needs 6 minutes longe - 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. - Aman

Aman, Anna and Tina are participating in the school race. Anna completes a lap in 120 minutes, Aman completes a lap in 240 minutes and Tina completes a lap in 60 minutes. If they all started at the same time, then after how long will they meet again? - 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?

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