Least Common Multiple of 54/42, 15/80, 96/66, 70/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/42, 15/80, 96/66, 70/457 quickly i.e. 30240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/42, 15/80, 96/66, 70/457 is 30240.

LCM(54/42, 15/80, 96/66, 70/457) = 30240

LCM of 54/42, 15/80, 96/66, 70/457

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 54/42,15/80,96/66,70/457

Given numbers are 54/42,15/80,96/66,70/457

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 54,15,96,70

Least Common Multiple of Numerators i.e. LCM of 54,15,96,70 is 30240.

GCF of Denominators means GCF of 42,80,66,457 as per the given fractions.

GCF of 42,80,66,457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,15,96,70

LCM of Fractions 54/42,15/80,96/66,70/457 is 30240

2 54, 15, 96, 70
3 27, 15, 48, 35
5 9, 5, 16, 35
9, 1, 16, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 9 x 1 x 16 x 7 = 30240

Least Common Multiple of 54,15,96,70 with GCF Formula

Least Common Multiple of 54,15,96,70 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 54,15,96,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,15,96,70) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(54,15,96,70) x common factors =1 x 180 = 180

LCM(54,15,96,70) = ( 54 × 15 × 96 × 70 ) / 180

LCM(54,15,96,70) = 5443200 / 180

LCM(54,15,96,70) = 30240


Lets's calculate GCF of 42,80,66,457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30240/1

Therefore the LCM of Fractions 54/42,15/80,96/66,70/457 is 30240

Greatest Common Factor of 42,80,66,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,80,66,457 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 42,80,66,457 . The biggest common factor number is the GCF number.
So the greatest common factor 42,80,66,457 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 54/42, 15/80, 96/66, 70/457

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 54/42, 15/80, 96/66, 70/457?

Answer: LCM of Numerators as per given numbers 54/42, 15/80, 96/66, 70/457 is

LCM of Numerators i.e. for 54,15,96,70 is 30240

GCF of denominators i.e. for 42,80,66,457 is 1.

Thus, LCM of Fractions is 30240.Finally, LCM of Fractions for 54/42, 15/80, 96/66, 70/457 is 30240.