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: 288
- A person 3
A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens that the person should have? - Beeps
An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The next time, when they will beep together at the earliest? - Division with a remainder
Find the least number which when divided by 8, 12, and 20 leaves a remainder of 5 in each case. - LCM and HCF 3
LCM of two integers is 1237. What is their HCF? - The difference 9 The difference of two numbers is 20 and their product is 56.25 times their difference. Find the LCM of the numbers.
- Joseph 2
Joseph visits the club on every fifth day, Harry visits on every 24th day, and Susan visits on every ninth day. If all three of them met at the club on a Sunday, then on which day will they meet again? - The HCF
The HCF of two numbers is 18 and their product is 12960. Their LCM will be - Multiple and remainder What is the least multiple of 7, which, when divided by each one of 6,9,15,18, gives the remainder of 4 in each case?
- Known hcf and find lcm Given that HCF (306, 657) = 9, find LCM (306, 657).
- Sport field
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Roland takes 12 minutes for the same. Suppose they both start at the same point and at the same time and go in the same direction. After how many - The size 3
The size of a wooden block is 15cm × 12cm × 20cm. How many such blocks will be required to construct a solid wooden cube of minimum size? - Three athletes
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point - 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 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.
- Plasticine cuboid 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.
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