Least Common Multiple of 466, 560, 149, 322, 490

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 466, 560, 149, 322, 490 i.e. 3130084720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 466, 560, 149, 322, 490 is 3130084720.

LCM(466, 560, 149, 322, 490) = 3130084720

LCM of 466, 560, 149, 322, 490

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

LCM of:

Least Common Multiple of 466,560,149,322,490

Least Common Multiple (LCM) of 466,560,149,322,490 is 3130084720

2 466, 560, 149, 322, 490
5 233, 280, 149, 161, 245
7 233, 56, 149, 161, 49
233, 8, 149, 23, 7

∴ So the LCM of the given numbers is 2 x 5 x 7 x 233 x 8 x 149 x 23 x 7 = 3130084720

Least Common Multiple of 466,560,149,322,490 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 466,560,149,322,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,560,149,322,490) = 1

common factors(in case of two or more numbers have common factors) = 1960

GCF(466,560,149,322,490) x common factors =1 x 1960 = 1960

LCM(466,560,149,322,490) = ( 466 × 560 × 149 × 322 × 490 ) / 1960

LCM(466,560,149,322,490) = 6134966051200 / 1960

LCM(466,560,149,322,490) = 3130084720

∴ Least Common Multiple of 466,560,149,322,490 is 3130084720

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 466, 560, 149, 322, 490

1. What is the LCM of 466, 560, 149, 322, 490?

Answer: LCM of 466, 560, 149, 322, 490 is 3130084720.

2. What are the Factors of 3130084720?

Answer: Factors of 3130084720 are . There are integers that are factors of 3130084720

3. How to Find the LCM of 466, 560, 149, 322, 490 ?

Least Common Multiple of 466, 560, 149, 322, 490.

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(466, 560, 149, 322, 490) = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 23 x 149 x 233 = 3130084720.