Least Common Multiple of 8982/912, 7930/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8982/912, 7930/710 quickly i.e. 17806815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8982/912, 7930/710 is 17806815.

LCM(8982/912, 7930/710) = 17806815

LCM of 8982/912, 7930/710

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 8982/912,7930/710

Given numbers are 8982/912,7930/710

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 8982,7930

Least Common Multiple of Numerators i.e. LCM of 8982,7930 is 35613630.

GCF of Denominators means GCF of 912,710 as per the given fractions.

GCF of 912,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8982,7930

LCM of Fractions 8982/912,7930/710 is 17806815

2 8982, 7930
4491, 3965

∴ So the LCM of the given numbers is 2 x 4491 x 3965 = 35613630

Least Common Multiple of 8982,7930 with GCF Formula

Least Common Multiple of 8982,7930 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 8982,7930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8982,7930) = 2

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

GCF(8982,7930) x common factors =2 x 1 = 2

LCM(8982,7930) = ( 8982 × 7930 ) / 2

LCM(8982,7930) = 71227260 / 2

LCM(8982,7930) = 35613630


Lets's calculate GCF of 912,710

2 912, 710
456, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35613630/2

Therefore the LCM of Fractions 8982/912,7930/710 is 17806815

Greatest Common Factor of 912,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,710 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 912,710 . The biggest common factor number is the GCF number.
So the greatest common factor 912,710 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 8982/912, 7930/710

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 8982/912, 7930/710?

Answer: LCM of Numerators as per given numbers 8982/912, 7930/710 is

LCM of Numerators i.e. for 8982,7930 is 35613630

GCF of denominators i.e. for 912,710 is 2.

Thus, LCM of Fractions is 17806815.Finally, LCM of Fractions for 8982/912, 7930/710 is 17806815.