Least Common Multiple of 45/42, 26/80, 57/96, 78/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/42, 26/80, 57/96, 78/497 quickly i.e. 22230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/42, 26/80, 57/96, 78/497 is 22230.

LCM(45/42, 26/80, 57/96, 78/497) = 22230

LCM of 45/42, 26/80, 57/96, 78/497

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 45/42,26/80,57/96,78/497

Given numbers are 45/42,26/80,57/96,78/497

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 45,26,57,78

Least Common Multiple of Numerators i.e. LCM of 45,26,57,78 is 22230.

GCF of Denominators means GCF of 42,80,96,497 as per the given fractions.

GCF of 42,80,96,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,26,57,78

LCM of Fractions 45/42,26/80,57/96,78/497 is 22230

2 45, 26, 57, 78
3 45, 13, 57, 39
13 15, 13, 19, 13
15, 1, 19, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 15 x 1 x 19 x 1 = 22230

Least Common Multiple of 45,26,57,78 with GCF Formula

Least Common Multiple of 45,26,57,78 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 45,26,57,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,26,57,78) = 1

common factors(in case of two or more numbers have common factors) = 234

GCF(45,26,57,78) x common factors =1 x 234 = 234

LCM(45,26,57,78) = ( 45 × 26 × 57 × 78 ) / 234

LCM(45,26,57,78) = 5201820 / 234

LCM(45,26,57,78) = 22230


Lets's calculate GCF of 42,80,96,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22230/1

Therefore the LCM of Fractions 45/42,26/80,57/96,78/497 is 22230

Greatest Common Factor of 42,80,96,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,80,96,497 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 42,80,96,497 . The biggest common factor number is the GCF number.
So the greatest common factor 42,80,96,497 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 45/42, 26/80, 57/96, 78/497

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 45/42, 26/80, 57/96, 78/497?

Answer: LCM of Numerators as per given numbers 45/42, 26/80, 57/96, 78/497 is

LCM of Numerators i.e. for 45,26,57,78 is 22230

GCF of denominators i.e. for 42,80,96,497 is 1.

Thus, LCM of Fractions is 22230.Finally, LCM of Fractions for 45/42, 26/80, 57/96, 78/497 is 22230.