Least Common Multiple of 6820/952, 2862/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6820/952, 2862/924 quickly i.e. 9759420/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6820/952, 2862/924 is 9759420/28.

LCM(6820/952, 2862/924) = 9759420/28

LCM of 6820/952, 2862/924

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 6820/952,2862/924

Given numbers are 6820/952,2862/924

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 6820,2862

Least Common Multiple of Numerators i.e. LCM of 6820,2862 is 9759420.

GCF of Denominators means GCF of 952,924 as per the given fractions.

GCF of 952,924 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6820,2862

LCM of Fractions 6820/952,2862/924 is 9759420/28

2 6820, 2862
3410, 1431

∴ So the LCM of the given numbers is 2 x 3410 x 1431 = 9759420

Least Common Multiple of 6820,2862 with GCF Formula

Least Common Multiple of 6820,2862 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 6820,2862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6820,2862) = 2

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

GCF(6820,2862) x common factors =2 x 1 = 2

LCM(6820,2862) = ( 6820 × 2862 ) / 2

LCM(6820,2862) = 19518840 / 2

LCM(6820,2862) = 9759420


Lets's calculate GCF of 952,924

2 952, 924
2 476, 462
7 238, 231
34, 33

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9759420/28

Therefore the LCM of Fractions 6820/952,2862/924 is 9759420/28

Greatest Common Factor of 952,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,924 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 952,924 . The biggest common factor number is the GCF number.
So the greatest common factor 952,924 is 28.


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 6820/952, 2862/924

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 6820/952, 2862/924?

Answer: LCM of Numerators as per given numbers 6820/952, 2862/924 is

LCM of Numerators i.e. for 6820,2862 is 9759420

GCF of denominators i.e. for 952,924 is 28.

Thus, LCM of Fractions is 9759420/28.Finally, LCM of Fractions for 6820/952, 2862/924 is 9759420/28.