Least Common Multiple of 9976/651, 8538/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9976/651, 8538/552 quickly i.e. 14195848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9976/651, 8538/552 is 14195848.

LCM(9976/651, 8538/552) = 14195848

LCM of 9976/651, 8538/552

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 9976/651,8538/552

Given numbers are 9976/651,8538/552

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 9976,8538

Least Common Multiple of Numerators i.e. LCM of 9976,8538 is 42587544.

GCF of Denominators means GCF of 651,552 as per the given fractions.

GCF of 651,552 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9976,8538

LCM of Fractions 9976/651,8538/552 is 14195848

2 9976, 8538
4988, 4269

∴ So the LCM of the given numbers is 2 x 4988 x 4269 = 42587544

Least Common Multiple of 9976,8538 with GCF Formula

Least Common Multiple of 9976,8538 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 9976,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9976,8538) = 2

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

GCF(9976,8538) x common factors =2 x 1 = 2

LCM(9976,8538) = ( 9976 × 8538 ) / 2

LCM(9976,8538) = 85175088 / 2

LCM(9976,8538) = 42587544


Lets's calculate GCF of 651,552

3 651, 552
217, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42587544/3

Therefore the LCM of Fractions 9976/651,8538/552 is 14195848

Greatest Common Factor of 651,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,552 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 651,552 . The biggest common factor number is the GCF number.
So the greatest common factor 651,552 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9976/651, 8538/552

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 9976/651, 8538/552?

Answer: LCM of Numerators as per given numbers 9976/651, 8538/552 is

LCM of Numerators i.e. for 9976,8538 is 42587544

GCF of denominators i.e. for 651,552 is 3.

Thus, LCM of Fractions is 14195848.Finally, LCM of Fractions for 9976/651, 8538/552 is 14195848.