Least Common Multiple of 361, 264, 300, 663, 558

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 361, 264, 300, 663, 558 i.e. 48969577800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 361, 264, 300, 663, 558 is 48969577800.

LCM(361, 264, 300, 663, 558) = 48969577800

LCM of 361, 264, 300, 663, 558

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

LCM of:

Least Common Multiple of 361,264,300,663,558

Least Common Multiple (LCM) of 361,264,300,663,558 is 48969577800

2 361, 264, 300, 663, 558
2 361, 132, 150, 663, 279
3 361, 66, 75, 663, 279
361, 22, 25, 221, 93

∴ So the LCM of the given numbers is 2 x 2 x 3 x 361 x 22 x 25 x 221 x 93 = 48969577800

Least Common Multiple of 361,264,300,663,558 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 361,264,300,663,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,264,300,663,558) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(361,264,300,663,558) x common factors =1 x 216 = 216

LCM(361,264,300,663,558) = ( 361 × 264 × 300 × 663 × 558 ) / 216

LCM(361,264,300,663,558) = 10577428804800 / 216

LCM(361,264,300,663,558) = 48969577800

∴ Least Common Multiple of 361,264,300,663,558 is 48969577800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 361, 264, 300, 663, 558

1. What is the LCM of 361, 264, 300, 663, 558?

Answer: LCM of 361, 264, 300, 663, 558 is 48969577800.

2. What are the Factors of 48969577800?

Answer: Factors of 48969577800 are . There are integers that are factors of 48969577800

3. How to Find the LCM of 361, 264, 300, 663, 558 ?

Least Common Multiple of 361, 264, 300, 663, 558.

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(361, 264, 300, 663, 558) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 13 x 17 x 19 x 19 x 31 = 48969577800.