Least Common Multiple of 364, 952, 678, 700

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 364, 952, 678, 700 i.e. 104886600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 364, 952, 678, 700 is 104886600.

LCM(364, 952, 678, 700) = 104886600

LCM of 364, 952, 678, 700

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 364,952,678,700

Least Common Multiple (LCM) of 364,952,678,700 is 104886600

2 364, 952, 678, 700
2 182, 476, 339, 350
7 91, 238, 339, 175
13, 34, 339, 25

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 34 x 339 x 25 = 104886600

Least Common Multiple of 364,952,678,700 with GCF Formula

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 364,952,678,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,952,678,700) = 2

common factors(in case of two or more numbers have common factors) = 784

GCF(364,952,678,700) x common factors =2 x 784 = 1568

LCM(364,952,678,700) = ( 364 × 952 × 678 × 700 ) / 1568

LCM(364,952,678,700) = 164462188800 / 1568

LCM(364,952,678,700) = 104886600

∴ Least Common Multiple of 364,952,678,700 is 104886600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 364, 952, 678, 700

1. What is the LCM of 364, 952, 678, 700?

Answer: LCM of 364, 952, 678, 700 is 104886600.

2. What are the Factors of 104886600?

Answer: Factors of 104886600 are . There are integers that are factors of 104886600

3. How to Find the LCM of 364, 952, 678, 700 ?

Least Common Multiple of 364, 952, 678, 700.

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(364, 952, 678, 700) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 17 x 113 = 104886600.