Least Common Multiple of 8121/252, 9710/3814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8121/252, 9710/3814 quickly i.e. 39427455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8121/252, 9710/3814 is 39427455.

LCM(8121/252, 9710/3814) = 39427455

LCM of 8121/252, 9710/3814

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 8121/252,9710/3814

Given numbers are 8121/252,9710/3814

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 8121,9710

Least Common Multiple of Numerators i.e. LCM of 8121,9710 is 78854910.

GCF of Denominators means GCF of 252,3814 as per the given fractions.

GCF of 252,3814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8121,9710

LCM of Fractions 8121/252,9710/3814 is 39427455

Given numbers has no common factors except 1. So, there LCM is their product i.e 78854910

Least Common Multiple of 8121,9710 with GCF Formula

Least Common Multiple of 8121,9710 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 8121,9710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8121,9710) = 1

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

GCF(8121,9710) x common factors =1 x 1 = 1

LCM(8121,9710) = ( 8121 × 9710 ) / 1

LCM(8121,9710) = 78854910 / 1

LCM(8121,9710) = 78854910


Lets's calculate GCF of 252,3814

2 252, 3814
126, 1907

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78854910/2

Therefore the LCM of Fractions 8121/252,9710/3814 is 39427455

Greatest Common Factor of 252,3814 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,3814 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1,2,1907,3814

Greatest Common Factor

We found the factors 252,3814 . The biggest common factor number is the GCF number.
So the greatest common factor 252,3814 is 2.


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 8121/252, 9710/3814

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 8121/252, 9710/3814?

Answer: LCM of Numerators as per given numbers 8121/252, 9710/3814 is

LCM of Numerators i.e. for 8121,9710 is 78854910

GCF of denominators i.e. for 252,3814 is 2.

Thus, LCM of Fractions is 39427455.Finally, LCM of Fractions for 8121/252, 9710/3814 is 39427455.