Least Common Multiple of 88/79, 42/54, 69/89, 40/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/79, 42/54, 69/89, 40/793 quickly i.e. 212520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/79, 42/54, 69/89, 40/793 is 212520.

LCM(88/79, 42/54, 69/89, 40/793) = 212520

LCM of 88/79, 42/54, 69/89, 40/793

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 88/79,42/54,69/89,40/793

Given numbers are 88/79,42/54,69/89,40/793

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 88,42,69,40

Least Common Multiple of Numerators i.e. LCM of 88,42,69,40 is 212520.

GCF of Denominators means GCF of 79,54,89,793 as per the given fractions.

GCF of 79,54,89,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,42,69,40

LCM of Fractions 88/79,42/54,69/89,40/793 is 212520

2 88, 42, 69, 40
2 44, 21, 69, 20
2 22, 21, 69, 10
3 11, 21, 69, 5
11, 7, 23, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 7 x 23 x 5 = 212520

Least Common Multiple of 88,42,69,40 with GCF Formula

Least Common Multiple of 88,42,69,40 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 88,42,69,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,42,69,40) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(88,42,69,40) x common factors =1 x 48 = 48

LCM(88,42,69,40) = ( 88 × 42 × 69 × 40 ) / 48

LCM(88,42,69,40) = 10200960 / 48

LCM(88,42,69,40) = 212520


Lets's calculate GCF of 79,54,89,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212520/1

Therefore the LCM of Fractions 88/79,42/54,69/89,40/793 is 212520

Greatest Common Factor of 79,54,89,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,54,89,793 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 79,54,89,793 . The biggest common factor number is the GCF number.
So the greatest common factor 79,54,89,793 is 1.


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 88/79, 42/54, 69/89, 40/793

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 88/79, 42/54, 69/89, 40/793?

Answer: LCM of Numerators as per given numbers 88/79, 42/54, 69/89, 40/793 is

LCM of Numerators i.e. for 88,42,69,40 is 212520

GCF of denominators i.e. for 79,54,89,793 is 1.

Thus, LCM of Fractions is 212520.Finally, LCM of Fractions for 88/79, 42/54, 69/89, 40/793 is 212520.