Least Common Multiple of 876/56, 949/4810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/56, 949/4810 quickly i.e. 5694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/56, 949/4810 is 5694.

LCM(876/56, 949/4810) = 5694

LCM of 876/56, 949/4810

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 876/56,949/4810

Given numbers are 876/56,949/4810

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 876,949

Least Common Multiple of Numerators i.e. LCM of 876,949 is 11388.

GCF of Denominators means GCF of 56,4810 as per the given fractions.

GCF of 56,4810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,949

LCM of Fractions 876/56,949/4810 is 5694

73 876, 949
12, 13

∴ So the LCM of the given numbers is 73 x 12 x 13 = 11388

Least Common Multiple of 876,949 with GCF Formula

Least Common Multiple of 876,949 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 876,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,949) = 73

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

GCF(876,949) x common factors =73 x 1 = 73

LCM(876,949) = ( 876 × 949 ) / 73

LCM(876,949) = 831324 / 73

LCM(876,949) = 11388


Lets's calculate GCF of 56,4810

2 56, 4810
28, 2405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11388/2

Therefore the LCM of Fractions 876/56,949/4810 is 5694

Greatest Common Factor of 56,4810 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,4810 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 4810

List of positive integer factors of 4810 that divides 4810 without a remainder.

1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810

Greatest Common Factor

We found the factors 56,4810 . The biggest common factor number is the GCF number.
So the greatest common factor 56,4810 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 876/56, 949/4810

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 876/56, 949/4810?

Answer: LCM of Numerators as per given numbers 876/56, 949/4810 is

LCM of Numerators i.e. for 876,949 is 11388

GCF of denominators i.e. for 56,4810 is 2.

Thus, LCM of Fractions is 5694.Finally, LCM of Fractions for 876/56, 949/4810 is 5694.