Least Common Multiple of 4771/948, 8616/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4771/948, 8616/279 quickly i.e. 13702312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4771/948, 8616/279 is 13702312.

LCM(4771/948, 8616/279) = 13702312

LCM of 4771/948, 8616/279

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 4771/948,8616/279

Given numbers are 4771/948,8616/279

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 4771,8616

Least Common Multiple of Numerators i.e. LCM of 4771,8616 is 41106936.

GCF of Denominators means GCF of 948,279 as per the given fractions.

GCF of 948,279 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4771,8616

LCM of Fractions 4771/948,8616/279 is 13702312

Given numbers has no common factors except 1. So, there LCM is their product i.e 41106936

Least Common Multiple of 4771,8616 with GCF Formula

Least Common Multiple of 4771,8616 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 4771,8616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4771,8616) = 1

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

GCF(4771,8616) x common factors =1 x 1 = 1

LCM(4771,8616) = ( 4771 × 8616 ) / 1

LCM(4771,8616) = 41106936 / 1

LCM(4771,8616) = 41106936


Lets's calculate GCF of 948,279

3 948, 279
316, 93

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41106936/3

Therefore the LCM of Fractions 4771/948,8616/279 is 13702312

Greatest Common Factor of 948,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,279 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 948,279 . The biggest common factor number is the GCF number.
So the greatest common factor 948,279 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 4771/948, 8616/279

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 4771/948, 8616/279?

Answer: LCM of Numerators as per given numbers 4771/948, 8616/279 is

LCM of Numerators i.e. for 4771,8616 is 41106936

GCF of denominators i.e. for 948,279 is 3.

Thus, LCM of Fractions is 13702312.Finally, LCM of Fractions for 4771/948, 8616/279 is 13702312.