Least Common Multiple of 138/28, 9884/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/28, 9884/710 quickly i.e. 340998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/28, 9884/710 is 340998.

LCM(138/28, 9884/710) = 340998

LCM of 138/28, 9884/710

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 138/28,9884/710

Given numbers are 138/28,9884/710

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 138,9884

Least Common Multiple of Numerators i.e. LCM of 138,9884 is 681996.

GCF of Denominators means GCF of 28,710 as per the given fractions.

GCF of 28,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,9884

LCM of Fractions 138/28,9884/710 is 340998

2 138, 9884
69, 4942

∴ So the LCM of the given numbers is 2 x 69 x 4942 = 681996

Least Common Multiple of 138,9884 with GCF Formula

Least Common Multiple of 138,9884 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 138,9884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,9884) = 2

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

GCF(138,9884) x common factors =2 x 1 = 2

LCM(138,9884) = ( 138 × 9884 ) / 2

LCM(138,9884) = 1363992 / 2

LCM(138,9884) = 681996


Lets's calculate GCF of 28,710

2 28, 710
14, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 681996/2

Therefore the LCM of Fractions 138/28,9884/710 is 340998

Greatest Common Factor of 28,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,710 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 28,710 . The biggest common factor number is the GCF number.
So the greatest common factor 28,710 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 138/28, 9884/710

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 138/28, 9884/710?

Answer: LCM of Numerators as per given numbers 138/28, 9884/710 is

LCM of Numerators i.e. for 138,9884 is 681996

GCF of denominators i.e. for 28,710 is 2.

Thus, LCM of Fractions is 340998.Finally, LCM of Fractions for 138/28, 9884/710 is 340998.