Least common multiple (LCM) - practice problems - page 3 of 13
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: 252
- 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 - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Dividing nuts
How many nuts do you have when dividing them between 2, 3, 4, 5, 6, 8, and 10 children? (smallest possible number) - Steps
Peter makes steps long 70 cm, John 45 cm long. After how many meters do their footsteps meet? - Unknown integer
Find the smallest integer: Divided by 2, the remainder is 1. divided by 3. The remainder is 2. divided by 4. The remainder is 3. Divided by eight, the remainder is 7. Divided by 9, the remainder is 8. - Plums
In the bowl are plums. How many would be there if we could divide it equally among 8, 10, and 11 children? - Electric 36771
There was a gear in the electric mixer. The drive wheel had 24 teeth. The driven wheel had 36 teeth. When did the same teeth of both wheels meet again? - Fractions
Sort fractions z1 = (20)/(9); z2 = (10)/(21); z3 = (15)/(14) by their size. The result writes as three serial numbers 1,2,3. - A number 5
A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number. - GCD&LCM of three
GCD of three numbers is 30 and LCM is 900. As two the are 60 and 150, find the number. - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - School
Headteacher thinks about whether the distribution of pupils in a race in groups of 4,5,6,9 or 10. How many pupils must have at least school possible options? - Dining tables
In the dining room are tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50? - Plum
On the platter are plums. How many were there if its have to be able to share equally among 8,10, and 12 children? - Cherries 55831
There are cherries in the basket. How many of them are if we can divide them equally between 3, 4, or 5 children? - Flowerbeds
What is the smallest length of flowerbeds we must prepare to plant seedlings at grids of 20,30,25,40 cm? - LCM or HCF
Find the lowest common multiple of these two numbers: 105 226 - Dance group
The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group? - Regularly 54301
Tonda, Emil, and Patrik go to the gym regularly. Tonda visits the gym every third day, Emil every fifth day, and Patrik every ninth day. How often does everyone meet at the gym? - Two-liter 19243
The barrel can be filled with just a two-liter measuring cup and a measuring cup for 3l, 5l, 7l, and 10l. What is the smallest volume this barrel can have?
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