# Least common multiple calculator

### LCM(3, 6) = 2×3 = 6

##### 3 = 3

##### 6 = 2×3

##### LCM = 2×3 = 6

#### 6 / 3 = 2

#### 6 / 6 = 1

### What is LCM?

The least common multiple (also called the lowest common multiple or smallest common multiple or LCM) of one or more integer numbers is the smallest positive integer divisible by all these numbers.

So, how do you find the LCM of two numbers? It's simpler than you might think. First, list the prime factors of each number. Then, identify the factors that appear in both lists. Finally, multiply these common factors by the highest power they appear in either list. This will give you the LCM of the two numbers.

For three or more numbers, proceed similarly and multiply the largest found powers of prime factors of given numbers.

## Questions and word problems to LCM

- Three buses

Three public transport buses depart together from the bus station in the morning. The first bus returns to the station after 18 minutes, the second after 12 minutes, and a third after 24 minutes. How long will again together at the station? Please express - Dressmaker

The dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters. What a piece of canvas left her? - LCM of two number

Find the smallest multiple of 63 and 147 - Different 6975

Three different bus lines, 80, 81, and 82, depart from the final station at 5h 20min. Line 80 departs every 30 minutes, line 81 every 20 minutes, and line 82 every 40 minutes. What time will they leave again?

- Reminder and quotient

There are given numbers A = 135, B = 315. Find the smallest natural number R greater than one so that the proportions R:A, R:B are with the remainder 1. - The grocery

Susan has decided to make grocery combos for her shop. The wholesaler she buys from sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and 15 bags of rice in a carton. How many of each item should she buy so there are an equal numb - 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. - LCM and HCF 2

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

Around a rectangular flowerbed with dimensions 5.25 m and 3.5 m are to be planted roses equally spaced so that the roses are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many rose

- Buses

At the bus stop at 10 o'clock met buses No. 2 and No. 9. Bus number 2 runs at an interval of 4 minutes and bus number 9 at intervals of 9 minutes. How many times does the bus meet at 18:00 local time? - Gearing

Gearing consists of two wheels. One is 88, and the second is 56 teeth. How many times turn the smaller wheel to hit the same teeth as in the beginning? How many times will we turn the biggest wheel? - Buses 4

Intervals: 1st bus 40 min. 2nd bus 2h 3rd bud 20min How long will it take them to meet - as soon as possible? - Four classses

Students of all 7, 8, and 9 classes in one school may take up 4, 5, 6, and 7 abreast, and nobody will be left. If there are always four classes in each grade, what is the average number of pupils in one class? - Gcd and lcm

Calculate the greatest common divisor and the least common multiple of numbers. a) 16 and 18 b) 24 and 22 c) 45 and 60 d) 36 and 30

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