Least Common Multiple (LCM) Calculator
LCM(9, 9) = 32 = 9
9 = 32
9 = 32
LCM = 32 = 9
9 / 9 = 1
9 / 9 = 1
What is LCM?
The least common multiple (also called the lowest common multiple, or LCM) of two 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 any of the numbers. Finally, multiply each prime factor raised to the highest power it appears in any of the numbers. This will give you the LCM of the two numbers.
For three or more numbers, the process is the same — gather all prime factors and use the highest power of each.
Questions and word problems involving LCM
- Three buses
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Find the smallest multiple of 63 and 147 - Bus Lines Departure Time
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
Numbers A = 135 and B = 315 are given. 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? - Buses 7
Two lines leave the bus stop according to the schedule A) 8:00 every 6 minutes until 23:00h B) 8:00 every 14 minutes until 23:00h How many times will buses of both lines leave the bus stop simultaneously between 8:01 and 20:00? - Trainers 3
Trainers start in six steps, eight steps, nine steps, and ten steps. Each time they have one trainee left. How many trainees were there? - Around the flowerbed
Roses are to be planted equally spaced around a rectangular flowerbed with dimensions 5.25 m and 9.0 m so that they are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many roses do - 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?
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