Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 936, 875, 238, 306, 975 i.e. 13923000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 936, 875, 238, 306, 975 is 13923000.
LCM(936, 875, 238, 306, 975) = 13923000
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 936, 875, 238, 306, 975 |
3 | 468, 875, 119, 153, 975 |
3 | 156, 875, 119, 51, 325 |
5 | 52, 875, 119, 17, 325 |
5 | 52, 175, 119, 17, 65 |
7 | 52, 35, 119, 17, 13 |
13 | 52, 5, 17, 17, 13 |
17 | 4, 5, 17, 17, 1 |
4, 5, 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 7 x 13 x 17 x 4 x 5 x 1 x 1 x 1 = 13923000
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 936,875,238,306,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,875,238,306,975) = 1
common factors(in case of two or more numbers have common factors) = 4176900
GCF(936,875,238,306,975) x common factors =1 x 4176900 = 4176900
LCM(936,875,238,306,975) = ( 936 × 875 × 238 × 306 × 975 ) / 4176900
LCM(936,875,238,306,975) = 58154978700000 / 4176900
LCM(936,875,238,306,975) = 13923000
∴ Least Common Multiple of 936,875,238,306,975 is 13923000
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 875, 238, 306, 975?
Answer: LCM of 936, 875, 238, 306, 975 is 13923000.
2. What are the Factors of 13923000?
Answer: Factors of 13923000 are . There are integers that are factors of 13923000
3. How to Find the LCM of 936, 875, 238, 306, 975 ?
Least Common Multiple of 936, 875, 238, 306, 975.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(936, 875, 238, 306, 975) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 13 x 17 = 13923000.