Least Common Multiple of 8906/884, 4916/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8906/884, 4916/364 quickly i.e. 21890948/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8906/884, 4916/364 is 21890948/52.

LCM(8906/884, 4916/364) = 21890948/52

LCM of 8906/884, 4916/364

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 8906/884,4916/364

Given numbers are 8906/884,4916/364

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 8906,4916

Least Common Multiple of Numerators i.e. LCM of 8906,4916 is 21890948.

GCF of Denominators means GCF of 884,364 as per the given fractions.

GCF of 884,364 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8906,4916

LCM of Fractions 8906/884,4916/364 is 21890948/52

2 8906, 4916
4453, 2458

∴ So the LCM of the given numbers is 2 x 4453 x 2458 = 21890948

Least Common Multiple of 8906,4916 with GCF Formula

Least Common Multiple of 8906,4916 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 8906,4916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8906,4916) = 2

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

GCF(8906,4916) x common factors =2 x 1 = 2

LCM(8906,4916) = ( 8906 × 4916 ) / 2

LCM(8906,4916) = 43781896 / 2

LCM(8906,4916) = 21890948


Lets's calculate GCF of 884,364

2 884, 364
2 442, 182
13 221, 91
17, 7

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21890948/52

Therefore the LCM of Fractions 8906/884,4916/364 is 21890948/52

Greatest Common Factor of 884,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,364 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 884,364 . The biggest common factor number is the GCF number.
So the greatest common factor 884,364 is 52.


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 8906/884, 4916/364

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 8906/884, 4916/364?

Answer: LCM of Numerators as per given numbers 8906/884, 4916/364 is

LCM of Numerators i.e. for 8906,4916 is 21890948

GCF of denominators i.e. for 884,364 is 52.

Thus, LCM of Fractions is 21890948/52.Finally, LCM of Fractions for 8906/884, 4916/364 is 21890948/52.