Least Common Multiple of 79/19, 88/99, 99/87, 44/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/19, 88/99, 99/87, 44/315 quickly i.e. 62568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/19, 88/99, 99/87, 44/315 is 62568.

LCM(79/19, 88/99, 99/87, 44/315) = 62568

LCM of 79/19, 88/99, 99/87, 44/315

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 79/19,88/99,99/87,44/315

Given numbers are 79/19,88/99,99/87,44/315

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 79,88,99,44

Least Common Multiple of Numerators i.e. LCM of 79,88,99,44 is 62568.

GCF of Denominators means GCF of 19,99,87,315 as per the given fractions.

GCF of 19,99,87,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,88,99,44

LCM of Fractions 79/19,88/99,99/87,44/315 is 62568

2 79, 88, 99, 44
2 79, 44, 99, 22
11 79, 11, 99, 22
79, 1, 9, 2

∴ So the LCM of the given numbers is 2 x 2 x 11 x 79 x 1 x 9 x 2 = 62568

Least Common Multiple of 79,88,99,44 with GCF Formula

Least Common Multiple of 79,88,99,44 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 79,88,99,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,88,99,44) = 1

common factors(in case of two or more numbers have common factors) = 484

GCF(79,88,99,44) x common factors =1 x 484 = 484

LCM(79,88,99,44) = ( 79 × 88 × 99 × 44 ) / 484

LCM(79,88,99,44) = 30282912 / 484

LCM(79,88,99,44) = 62568


Lets's calculate GCF of 19,99,87,315

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62568/1

Therefore the LCM of Fractions 79/19,88/99,99/87,44/315 is 62568

Greatest Common Factor of 19,99,87,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,99,87,315 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 19,99,87,315 . The biggest common factor number is the GCF number.
So the greatest common factor 19,99,87,315 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/19, 88/99, 99/87, 44/315

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 79/19, 88/99, 99/87, 44/315?

Answer: LCM of Numerators as per given numbers 79/19, 88/99, 99/87, 44/315 is

LCM of Numerators i.e. for 79,88,99,44 is 62568

GCF of denominators i.e. for 19,99,87,315 is 1.

Thus, LCM of Fractions is 62568.Finally, LCM of Fractions for 79/19, 88/99, 99/87, 44/315 is 62568.