Least Common Multiple of 240, 459, 980, 297

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 240, 459, 980, 297 i.e. 19792080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 240, 459, 980, 297 is 19792080.

LCM(240, 459, 980, 297) = 19792080

LCM of 240, 459, 980, 297

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

LCM of:

Least Common Multiple of 240,459,980,297

Least Common Multiple (LCM) of 240,459,980,297 is 19792080

2 240, 459, 980, 297
2 120, 459, 490, 297
3 60, 459, 245, 297
3 20, 153, 245, 99
3 20, 51, 245, 33
5 20, 17, 245, 11
4, 17, 49, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 4 x 17 x 49 x 11 = 19792080

Least Common Multiple of 240,459,980,297 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 240,459,980,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,459,980,297) = 1

common factors(in case of two or more numbers have common factors) = 1620

GCF(240,459,980,297) x common factors =1 x 1620 = 1620

LCM(240,459,980,297) = ( 240 × 459 × 980 × 297 ) / 1620

LCM(240,459,980,297) = 32063169600 / 1620

LCM(240,459,980,297) = 19792080

∴ Least Common Multiple of 240,459,980,297 is 19792080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 240, 459, 980, 297

1. What is the LCM of 240, 459, 980, 297?

Answer: LCM of 240, 459, 980, 297 is 19792080.

2. What are the Factors of 19792080?

Answer: Factors of 19792080 are . There are integers that are factors of 19792080

3. How to Find the LCM of 240, 459, 980, 297 ?

Least Common Multiple of 240, 459, 980, 297.

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(240, 459, 980, 297) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 11 x 17 = 19792080.