Least Common Multiple of 71/38, 78/82, 100/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/38, 78/82, 100/88 quickly i.e. 138450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/38, 78/82, 100/88 is 138450.

LCM(71/38, 78/82, 100/88) = 138450

LCM of 71/38, 78/82, 100/88

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 71/38,78/82,100/88

Given numbers are 71/38,78/82,100/88

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 71,78,100

Least Common Multiple of Numerators i.e. LCM of 71,78,100 is 276900.

GCF of Denominators means GCF of 38,82,88 as per the given fractions.

GCF of 38,82,88 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,78,100

LCM of Fractions 71/38,78/82,100/88 is 138450

2 71, 78, 100
71, 39, 50

∴ So the LCM of the given numbers is 2 x 71 x 39 x 50 = 276900

Least Common Multiple of 71,78,100 with GCF Formula

Least Common Multiple of 71,78,100 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 71,78,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,78,100) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,78,100) x common factors =1 x 2 = 2

LCM(71,78,100) = ( 71 × 78 × 100 ) / 2

LCM(71,78,100) = 553800 / 2

LCM(71,78,100) = 276900


Lets's calculate GCF of 38,82,88

2 38, 82, 88
19, 41, 44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276900/2

Therefore the LCM of Fractions 71/38,78/82,100/88 is 138450

Greatest Common Factor of 38,82,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,82,88 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 38,82,88 . The biggest common factor number is the GCF number.
So the greatest common factor 38,82,88 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 71/38, 78/82, 100/88

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 71/38, 78/82, 100/88?

Answer: LCM of Numerators as per given numbers 71/38, 78/82, 100/88 is

LCM of Numerators i.e. for 71,78,100 is 276900

GCF of denominators i.e. for 38,82,88 is 2.

Thus, LCM of Fractions is 138450.Finally, LCM of Fractions for 71/38, 78/82, 100/88 is 138450.