Least common multiple (LCM) - practice problems - page 4 of 14
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: 272
- Determine 6
Determine the least common denominator 3/4 and -5/6
- Mr. Product
The product of ages of all of Mr. Product's children 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 that are 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 were 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 three days, Frédéric every four days, and Simon every Tuesday. If they all keep up with their training pace, in ho
- Performance 57041
We are planning a dance performance at the school academy. How many students have to take part in it if we want them to be able to split into groups of four, six, and twelve?
- Dividing
One always remained when dividing the tangerines into packages of 8 or 10. If there were more than 250 and less than 300, how many were there?
- Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.
- Cherries 55831
There are cherries in the basket. If we can divide them equally between three, four, or five children, how many will there be?
- Rectangular 54871
The arranger has at his disposal a certain number of colored targets, from which he wants to create a rectangular pattern of a flower bed. If he puts 4,5,6,8,9, or 10 targets in one row, he always has three extra targets. How many targets does it have? De
- Athletics team
All athletes from the Ostrava athletics team 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 twelve groups in the section? Consider the smallest number of athlete
- 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?
- 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 six days, and the choir meets there every five 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
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
- Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm?
- Returning 44201
Four gears with 21, 49, 35, and 14 teeth mesh together. If one of them rotates, the other also rotates. How many times does each rotate before returning to their position at the start?
- 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 mechanical tipping needs 6 minutes longer
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