Least Common Multiple of 460, 292, 438, 557, 327

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 460, 292, 438, 557, 327 i.e. 6116227620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 292, 438, 557, 327 is 6116227620.

LCM(460, 292, 438, 557, 327) = 6116227620

LCM of 460, 292, 438, 557, 327

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

LCM of:

Least Common Multiple of 460,292,438,557,327

Least Common Multiple (LCM) of 460,292,438,557,327 is 6116227620

2 460, 292, 438, 557, 327
2 230, 146, 219, 557, 327
3 115, 73, 219, 557, 327
73 115, 73, 73, 557, 109
115, 1, 1, 557, 109

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 115 x 1 x 1 x 557 x 109 = 6116227620

Least Common Multiple of 460,292,438,557,327 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 460,292,438,557,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,292,438,557,327) = 1

common factors(in case of two or more numbers have common factors) = 1752

GCF(460,292,438,557,327) x common factors =1 x 1752 = 1752

LCM(460,292,438,557,327) = ( 460 × 292 × 438 × 557 × 327 ) / 1752

LCM(460,292,438,557,327) = 10715630790240 / 1752

LCM(460,292,438,557,327) = 6116227620

∴ Least Common Multiple of 460,292,438,557,327 is 6116227620

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 460, 292, 438, 557, 327

1. What is the LCM of 460, 292, 438, 557, 327?

Answer: LCM of 460, 292, 438, 557, 327 is 6116227620.

2. What are the Factors of 6116227620?

Answer: Factors of 6116227620 are . There are integers that are factors of 6116227620

3. How to Find the LCM of 460, 292, 438, 557, 327 ?

Least Common Multiple of 460, 292, 438, 557, 327.

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(460, 292, 438, 557, 327) = 2 x 2 x 3 x 5 x 23 x 73 x 109 x 557 = 6116227620.