Least Common Multiple of 8732/986, 9845/2154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8732/986, 9845/2154 quickly i.e. 42983270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8732/986, 9845/2154 is 42983270.

LCM(8732/986, 9845/2154) = 42983270

LCM of 8732/986, 9845/2154

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 8732/986,9845/2154

Given numbers are 8732/986,9845/2154

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 8732,9845

Least Common Multiple of Numerators i.e. LCM of 8732,9845 is 85966540.

GCF of Denominators means GCF of 986,2154 as per the given fractions.

GCF of 986,2154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8732,9845

LCM of Fractions 8732/986,9845/2154 is 42983270

Given numbers has no common factors except 1. So, there LCM is their product i.e 85966540

Least Common Multiple of 8732,9845 with GCF Formula

Least Common Multiple of 8732,9845 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 8732,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8732,9845) = 1

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

GCF(8732,9845) x common factors =1 x 1 = 1

LCM(8732,9845) = ( 8732 × 9845 ) / 1

LCM(8732,9845) = 85966540 / 1

LCM(8732,9845) = 85966540


Lets's calculate GCF of 986,2154

2 986, 2154
493, 1077

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85966540/2

Therefore the LCM of Fractions 8732/986,9845/2154 is 42983270

Greatest Common Factor of 986,2154 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,2154 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1,2,3,6,359,718,1077,2154

Greatest Common Factor

We found the factors 986,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 986,2154 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 8732/986, 9845/2154

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 8732/986, 9845/2154?

Answer: LCM of Numerators as per given numbers 8732/986, 9845/2154 is

LCM of Numerators i.e. for 8732,9845 is 85966540

GCF of denominators i.e. for 986,2154 is 2.

Thus, LCM of Fractions is 42983270.Finally, LCM of Fractions for 8732/986, 9845/2154 is 42983270.