Least Common Multiple of 490, 494, 988, 995, 678

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 490, 494, 988, 995, 678 i.e. 16329609660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 490, 494, 988, 995, 678 is 16329609660.

LCM(490, 494, 988, 995, 678) = 16329609660

LCM of 490, 494, 988, 995, 678

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

LCM of:

Least Common Multiple of 490,494,988,995,678

Least Common Multiple (LCM) of 490,494,988,995,678 is 16329609660

2 490, 494, 988, 995, 678
5 245, 247, 494, 995, 339
13 49, 247, 494, 199, 339
19 49, 19, 38, 199, 339
49, 1, 2, 199, 339

∴ So the LCM of the given numbers is 2 x 5 x 13 x 19 x 49 x 1 x 2 x 199 x 339 = 16329609660

Least Common Multiple of 490,494,988,995,678 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 490,494,988,995,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,494,988,995,678) = 1

common factors(in case of two or more numbers have common factors) = 9880

GCF(490,494,988,995,678) x common factors =1 x 9880 = 9880

LCM(490,494,988,995,678) = ( 490 × 494 × 988 × 995 × 678 ) / 9880

LCM(490,494,988,995,678) = 161336543440800 / 9880

LCM(490,494,988,995,678) = 16329609660

∴ Least Common Multiple of 490,494,988,995,678 is 16329609660

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 490, 494, 988, 995, 678

1. What is the LCM of 490, 494, 988, 995, 678?

Answer: LCM of 490, 494, 988, 995, 678 is 16329609660.

2. What are the Factors of 16329609660?

Answer: Factors of 16329609660 are . There are integers that are factors of 16329609660

3. How to Find the LCM of 490, 494, 988, 995, 678 ?

Least Common Multiple of 490, 494, 988, 995, 678.

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(490, 494, 988, 995, 678) = 2 x 2 x 3 x 5 x 7 x 7 x 13 x 19 x 113 x 199 = 16329609660.