Least Common Multiple of 488, 742, 640

Q: How to Find the LCM of 488, 742, 640 ?

Least Common Multiple of 488, 742, 640 = 14483840 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(488, 742, 640) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 53 x 61 = 14483840.

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 488, 742, 640 i.e. 14483840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 488, 742, 640 is 14483840.

LCM(488, 742, 640) = 14483840

LCM of 488, 742, 640

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

Least Common Multiple of 488, 742, 640 by common division method
Least Common Multiple of 488, 742, 640 with GCF Formula

Least Common Multiple of 488,742,640

Least Common Multiple (LCM) of 488,742,640 is 14483840

2	488, 742, 640
2	244, 371, 320
2	122, 371, 160
	61, 371, 80

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 371 x 80 = 14483840

Least Common Multiple of 488,742,640 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 488,742,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,742,640) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(488,742,640) x common factors =2 x 8 = 16

LCM(488,742,640) = ( 488 × 742 × 640 ) / 16

LCM(488,742,640) = 231741440 / 16

LCM(488,742,640) = 14483840

∴ Least Common Multiple of 488,742,640 is 14483840

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 488, 742, 640

1. What is the LCM of 488, 742, 640?

Answer: LCM of 488, 742, 640 is 14483840.

2. What are the Factors of 14483840?

Answer: Factors of 14483840 are . There are integers that are factors of 14483840

3. How to Find the LCM of 488, 742, 640 ?

Least Common Multiple of 488, 742, 640.

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(488, 742, 640) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 53 x 61 = 14483840.