Least Common Multiple of 536, 90, 378, 368

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 536, 90, 378, 368 i.e. 23299920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 536, 90, 378, 368 is 23299920.

LCM(536, 90, 378, 368) = 23299920

LCM of 536, 90, 378, 368

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

LCM of:

Least Common Multiple of 536,90,378,368

Least Common Multiple (LCM) of 536,90,378,368 is 23299920

2 536, 90, 378, 368
2 268, 45, 189, 184
2 134, 45, 189, 92
3 67, 45, 189, 46
3 67, 15, 63, 46
67, 5, 21, 46

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 67 x 5 x 21 x 46 = 23299920

Least Common Multiple of 536,90,378,368 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 536,90,378,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,90,378,368) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(536,90,378,368) x common factors =2 x 144 = 288

LCM(536,90,378,368) = ( 536 × 90 × 378 × 368 ) / 288

LCM(536,90,378,368) = 6710376960 / 288

LCM(536,90,378,368) = 23299920

∴ Least Common Multiple of 536,90,378,368 is 23299920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 536, 90, 378, 368

1. What is the LCM of 536, 90, 378, 368?

Answer: LCM of 536, 90, 378, 368 is 23299920.

2. What are the Factors of 23299920?

Answer: Factors of 23299920 are . There are integers that are factors of 23299920

3. How to Find the LCM of 536, 90, 378, 368 ?

Least Common Multiple of 536, 90, 378, 368.

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(536, 90, 378, 368) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 67 = 23299920.