Least Common Multiple of 8754/387, 9657/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8754/387, 9657/126 quickly i.e. 3131014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8754/387, 9657/126 is 3131014.

LCM(8754/387, 9657/126) = 3131014

LCM of 8754/387, 9657/126

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 8754/387,9657/126

Given numbers are 8754/387,9657/126

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 8754,9657

Least Common Multiple of Numerators i.e. LCM of 8754,9657 is 28179126.

GCF of Denominators means GCF of 387,126 as per the given fractions.

GCF of 387,126 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8754,9657

LCM of Fractions 8754/387,9657/126 is 3131014

3 8754, 9657
2918, 3219

∴ So the LCM of the given numbers is 3 x 2918 x 3219 = 28179126

Least Common Multiple of 8754,9657 with GCF Formula

Least Common Multiple of 8754,9657 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 8754,9657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8754,9657) = 3

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

GCF(8754,9657) x common factors =3 x 1 = 3

LCM(8754,9657) = ( 8754 × 9657 ) / 3

LCM(8754,9657) = 84537378 / 3

LCM(8754,9657) = 28179126


Lets's calculate GCF of 387,126

3 387, 126
3 129, 42
43, 14

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28179126/9

Therefore the LCM of Fractions 8754/387,9657/126 is 3131014

Greatest Common Factor of 387,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,126 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 387,126 . The biggest common factor number is the GCF number.
So the greatest common factor 387,126 is 9.


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 8754/387, 9657/126

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 8754/387, 9657/126?

Answer: LCM of Numerators as per given numbers 8754/387, 9657/126 is

LCM of Numerators i.e. for 8754,9657 is 28179126

GCF of denominators i.e. for 387,126 is 9.

Thus, LCM of Fractions is 3131014.Finally, LCM of Fractions for 8754/387, 9657/126 is 3131014.