Least Common Multiple of 464, 840, 971, 470, 986

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 464, 840, 971, 470, 986 i.e. 37798388880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 464, 840, 971, 470, 986 is 37798388880.

LCM(464, 840, 971, 470, 986) = 37798388880

LCM of 464, 840, 971, 470, 986

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

LCM of:

Least Common Multiple of 464,840,971,470,986

Least Common Multiple (LCM) of 464,840,971,470,986 is 37798388880

2 464, 840, 971, 470, 986
2 232, 420, 971, 235, 493
2 116, 210, 971, 235, 493
5 58, 105, 971, 235, 493
29 58, 21, 971, 47, 493
2, 21, 971, 47, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 29 x 2 x 21 x 971 x 47 x 17 = 37798388880

Least Common Multiple of 464,840,971,470,986 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 464,840,971,470,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,840,971,470,986) = 1

common factors(in case of two or more numbers have common factors) = 4640

GCF(464,840,971,470,986) x common factors =1 x 4640 = 4640

LCM(464,840,971,470,986) = ( 464 × 840 × 971 × 470 × 986 ) / 4640

LCM(464,840,971,470,986) = 175384524403200 / 4640

LCM(464,840,971,470,986) = 37798388880

∴ Least Common Multiple of 464,840,971,470,986 is 37798388880

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 464, 840, 971, 470, 986

1. What is the LCM of 464, 840, 971, 470, 986?

Answer: LCM of 464, 840, 971, 470, 986 is 37798388880.

2. What are the Factors of 37798388880?

Answer: Factors of 37798388880 are . There are integers that are factors of 37798388880

3. How to Find the LCM of 464, 840, 971, 470, 986 ?

Least Common Multiple of 464, 840, 971, 470, 986.

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(464, 840, 971, 470, 986) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 29 x 47 x 971 = 37798388880.