Least Common Multiple of 2979/210, 7705/8271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2979/210, 7705/8271 quickly i.e. 7651065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2979/210, 7705/8271 is 7651065.

LCM(2979/210, 7705/8271) = 7651065

LCM of 2979/210, 7705/8271

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 2979/210,7705/8271

Given numbers are 2979/210,7705/8271

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 2979,7705

Least Common Multiple of Numerators i.e. LCM of 2979,7705 is 22953195.

GCF of Denominators means GCF of 210,8271 as per the given fractions.

GCF of 210,8271 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2979,7705

LCM of Fractions 2979/210,7705/8271 is 7651065

Given numbers has no common factors except 1. So, there LCM is their product i.e 22953195

Least Common Multiple of 2979,7705 with GCF Formula

Least Common Multiple of 2979,7705 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 2979,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2979,7705) = 1

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

GCF(2979,7705) x common factors =1 x 1 = 1

LCM(2979,7705) = ( 2979 × 7705 ) / 1

LCM(2979,7705) = 22953195 / 1

LCM(2979,7705) = 22953195


Lets's calculate GCF of 210,8271

3 210, 8271
70, 2757

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22953195/3

Therefore the LCM of Fractions 2979/210,7705/8271 is 7651065

Greatest Common Factor of 210,8271 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,8271 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 8271

List of positive integer factors of 8271 that divides 8271 without a remainder.

1,3,9,919,2757,8271

Greatest Common Factor

We found the factors 210,8271 . The biggest common factor number is the GCF number.
So the greatest common factor 210,8271 is 3.


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 2979/210, 7705/8271

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 2979/210, 7705/8271?

Answer: LCM of Numerators as per given numbers 2979/210, 7705/8271 is

LCM of Numerators i.e. for 2979,7705 is 22953195

GCF of denominators i.e. for 210,8271 is 3.

Thus, LCM of Fractions is 7651065.Finally, LCM of Fractions for 2979/210, 7705/8271 is 7651065.