Least Common Multiple of 980, 140, 343

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 980, 140, 343 i.e. 6860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 980, 140, 343 is 6860.

LCM(980, 140, 343) = 6860

LCM of 980, 140, 343

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

LCM of:

Least Common Multiple of 980,140,343

Least Common Multiple (LCM) of 980,140,343 is 6860

2 980, 140, 343
2 490, 70, 343
5 245, 35, 343
7 49, 7, 343
7 1, 7, 49
1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 7 x 1 x 1 x 7 = 6860

Least Common Multiple of 980,140,343 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 980,140,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,140,343) = 7

common factors(in case of two or more numbers have common factors) = 980

GCF(980,140,343) x common factors =7 x 980 = 6860

LCM(980,140,343) = ( 980 × 140 × 343 ) / 6860

LCM(980,140,343) = 47059600 / 6860

LCM(980,140,343) = 6860

∴ Least Common Multiple of 980,140,343 is 6860

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 980, 140, 343

1. What is the LCM of 980, 140, 343?

Answer: LCM of 980, 140, 343 is 6860.

2. What are the Factors of 6860?

Answer: Factors of 6860 are . There are integers that are factors of 6860

3. How to Find the LCM of 980, 140, 343 ?

Least Common Multiple of 980, 140, 343.

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(980, 140, 343) = 2 x 2 x 5 x 7 x 7 x 7 = 6860.