Least Common Multiple of 4924/867, 8524/1548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4924/867, 8524/1548 quickly i.e. 10493044/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4924/867, 8524/1548 is 10493044/3.

LCM(4924/867, 8524/1548) = 10493044/3

LCM of 4924/867, 8524/1548

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 4924/867,8524/1548

Given numbers are 4924/867,8524/1548

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 4924,8524

Least Common Multiple of Numerators i.e. LCM of 4924,8524 is 10493044.

GCF of Denominators means GCF of 867,1548 as per the given fractions.

GCF of 867,1548 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4924,8524

LCM of Fractions 4924/867,8524/1548 is 10493044/3

2 4924, 8524
2 2462, 4262
1231, 2131

∴ So the LCM of the given numbers is 2 x 2 x 1231 x 2131 = 10493044

Least Common Multiple of 4924,8524 with GCF Formula

Least Common Multiple of 4924,8524 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 4924,8524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4924,8524) = 4

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

GCF(4924,8524) x common factors =4 x 1 = 4

LCM(4924,8524) = ( 4924 × 8524 ) / 4

LCM(4924,8524) = 41972176 / 4

LCM(4924,8524) = 10493044


Lets's calculate GCF of 867,1548

3 867, 1548
289, 516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10493044/3

Therefore the LCM of Fractions 4924/867,8524/1548 is 10493044/3

Greatest Common Factor of 867,1548 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,1548 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Greatest Common Factor

We found the factors 867,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 867,1548 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 4924/867, 8524/1548

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 4924/867, 8524/1548?

Answer: LCM of Numerators as per given numbers 4924/867, 8524/1548 is

LCM of Numerators i.e. for 4924,8524 is 10493044

GCF of denominators i.e. for 867,1548 is 3.

Thus, LCM of Fractions is 10493044/3.Finally, LCM of Fractions for 4924/867, 8524/1548 is 10493044/3.