Least Common Multiple of 189, 504, 326, 814

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 189, 504, 326, 814 i.e. 100307592 smallest integer divisible by all numbers.

Least common multiple (LCM) of 189, 504, 326, 814 is 100307592.

LCM(189, 504, 326, 814) = 100307592

LCM of 189, 504, 326, 814

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

LCM of:

Least Common Multiple of 189,504,326,814

Least Common Multiple (LCM) of 189,504,326,814 is 100307592

2 189, 504, 326, 814
3 189, 252, 163, 407
3 63, 84, 163, 407
7 21, 28, 163, 407
3, 4, 163, 407

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 4 x 163 x 407 = 100307592

Least Common Multiple of 189,504,326,814 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 189,504,326,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,504,326,814) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(189,504,326,814) x common factors =1 x 252 = 252

LCM(189,504,326,814) = ( 189 × 504 × 326 × 814 ) / 252

LCM(189,504,326,814) = 25277513184 / 252

LCM(189,504,326,814) = 100307592

∴ Least Common Multiple of 189,504,326,814 is 100307592

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 189, 504, 326, 814

1. What is the LCM of 189, 504, 326, 814?

Answer: LCM of 189, 504, 326, 814 is 100307592.

2. What are the Factors of 100307592?

Answer: Factors of 100307592 are . There are integers that are factors of 100307592

3. How to Find the LCM of 189, 504, 326, 814 ?

Least Common Multiple of 189, 504, 326, 814.

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(189, 504, 326, 814) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 37 x 163 = 100307592.