# Least common multiple (LCM) - practice problems

The Least Common Multiple (LCM) of integers is the smallest number that is divisible by these numbers without a remainder. Example: LCM(12, 15) = 60.#### Number of problems found: 260

- Exactly divisibled

Find the least number that can be divided exactly by all the even numbers between 10 and 20 - HCF and LCM equation

The LCM of two numbers is 20 times of their HCF and (LCM+HCF)=2520. If one number is 480, what will be the triple of another number? - Add five to lcm

The least number, which, when diminished by 5, is divisible by each of 21, 28, 36, and 45. - LCM and HCF 2

If the product of two numbers is 5780 and their HCF is 17, then what is their LCM?

- Remainder one

Find the least number when divided by 2,3,4,5,6, and 7, leaving the remainder as 1 in each case. - Paul makes

Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube? - HCF - big numbers

Find the HCF of 72030 and 88200 - GCD&LCM of three

GCD of three numbers is 30 and LCM is 900. As two the are 60 and 150, find the number. - Relay teams

There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain.

- Common denominators

Find the common denominator 5/6 and 1/3 - Eggs in basket

If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no - LCM or HCF

Find the lowest common multiple of these two numbers: 105 226 - A number 8

A number K is such that when it is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K - LCMs

What is the difference between the LCM (16, 400) and LCM (15, 65)?

- Ronald 2

Ronald and Tim both did their laundry today. Ronald does laundry every 6 days, and Tim does laundry every 9 days. How many days will it be until Ronald and Tim both do laundry on the same day? - Electricity 83351

Three roommates divided the electricity bill according to the time spent on the PC. Adam and Brano's time is divided in the ratio of 1:4, and Brano and Damian's time is divided in the ratio of 2:5. In what proportion do all three boys spend the time at th - Composition 83241

You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w - Condition 83228

Three boys, Ivo, Vlado, and Alan, are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Vlado reads 24 pages, and Al - Morning 82968

The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh

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