Least Common Multiple of 6710/678, 7371/7970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6710/678, 7371/7970 quickly i.e. 24729705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6710/678, 7371/7970 is 24729705.

LCM(6710/678, 7371/7970) = 24729705

LCM of 6710/678, 7371/7970

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6710/678,7371/7970

Given numbers are 6710/678,7371/7970

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6710,7371

Least Common Multiple of Numerators i.e. LCM of 6710,7371 is 49459410.

GCF of Denominators means GCF of 678,7970 as per the given fractions.

GCF of 678,7970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6710,7371

LCM of Fractions 6710/678,7371/7970 is 24729705

Given numbers has no common factors except 1. So, there LCM is their product i.e 49459410

Least Common Multiple of 6710,7371 with GCF Formula

Least Common Multiple of 6710,7371 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 6710,7371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6710,7371) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6710,7371) x common factors =1 x 1 = 1

LCM(6710,7371) = ( 6710 × 7371 ) / 1

LCM(6710,7371) = 49459410 / 1

LCM(6710,7371) = 49459410


Lets's calculate GCF of 678,7970

2 678, 7970
339, 3985

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49459410/2

Therefore the LCM of Fractions 6710/678,7371/7970 is 24729705

Greatest Common Factor of 678,7970 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,7970 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 7970

List of positive integer factors of 7970 that divides 7970 without a remainder.

1,2,5,10,797,1594,3985,7970

Greatest Common Factor

We found the factors 678,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 678,7970 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6710/678, 7371/7970

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6710/678, 7371/7970?

Answer: LCM of Numerators as per given numbers 6710/678, 7371/7970 is

LCM of Numerators i.e. for 6710,7371 is 49459410

GCF of denominators i.e. for 678,7970 is 2.

Thus, LCM of Fractions is 24729705.Finally, LCM of Fractions for 6710/678, 7371/7970 is 24729705.