Least Common Multiple of 54/90, 42/79, 24/67, 70/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/90, 42/79, 24/67, 70/880 quickly i.e. 7560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/90, 42/79, 24/67, 70/880 is 7560.

LCM(54/90, 42/79, 24/67, 70/880) = 7560

LCM of 54/90, 42/79, 24/67, 70/880

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 54/90,42/79,24/67,70/880

Given numbers are 54/90,42/79,24/67,70/880

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 54,42,24,70

Least Common Multiple of Numerators i.e. LCM of 54,42,24,70 is 7560.

GCF of Denominators means GCF of 90,79,67,880 as per the given fractions.

GCF of 90,79,67,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,42,24,70

LCM of Fractions 54/90,42/79,24/67,70/880 is 7560

2 54, 42, 24, 70
3 27, 21, 12, 35
7 9, 7, 4, 35
9, 1, 4, 5

∴ So the LCM of the given numbers is 2 x 3 x 7 x 9 x 1 x 4 x 5 = 7560

Least Common Multiple of 54,42,24,70 with GCF Formula

Least Common Multiple of 54,42,24,70 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 54,42,24,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,42,24,70) = 2

common factors(in case of two or more numbers have common factors) = 252

GCF(54,42,24,70) x common factors =2 x 252 = 504

LCM(54,42,24,70) = ( 54 × 42 × 24 × 70 ) / 504

LCM(54,42,24,70) = 3810240 / 504

LCM(54,42,24,70) = 7560


Lets's calculate GCF of 90,79,67,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7560/1

Therefore the LCM of Fractions 54/90,42/79,24/67,70/880 is 7560

Greatest Common Factor of 90,79,67,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,79,67,880 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 79

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

1,79

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 90,79,67,880 . The biggest common factor number is the GCF number.
So the greatest common factor 90,79,67,880 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 54/90, 42/79, 24/67, 70/880

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 54/90, 42/79, 24/67, 70/880?

Answer: LCM of Numerators as per given numbers 54/90, 42/79, 24/67, 70/880 is

LCM of Numerators i.e. for 54,42,24,70 is 7560

GCF of denominators i.e. for 90,79,67,880 is 1.

Thus, LCM of Fractions is 7560.Finally, LCM of Fractions for 54/90, 42/79, 24/67, 70/880 is 7560.