Least Common Multiple of 42/50, 25/77, 24/64, 42/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/50, 25/77, 24/64, 42/140 quickly i.e. 4200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/50, 25/77, 24/64, 42/140 is 4200.

LCM(42/50, 25/77, 24/64, 42/140) = 4200

LCM of 42/50, 25/77, 24/64, 42/140

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 42/50,25/77,24/64,42/140

Given numbers are 42/50,25/77,24/64,42/140

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 42,25,24,42

Least Common Multiple of Numerators i.e. LCM of 42,25,24,42 is 4200.

GCF of Denominators means GCF of 50,77,64,140 as per the given fractions.

GCF of 50,77,64,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,25,24,42

LCM of Fractions 42/50,25/77,24/64,42/140 is 4200

2 42, 25, 24, 42
3 21, 25, 12, 21
7 7, 25, 4, 7
1, 25, 4, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 25 x 4 x 1 = 4200

Least Common Multiple of 42,25,24,42 with GCF Formula

Least Common Multiple of 42,25,24,42 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 42,25,24,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,25,24,42) = 1

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

GCF(42,25,24,42) x common factors =1 x 252 = 252

LCM(42,25,24,42) = ( 42 × 25 × 24 × 42 ) / 252

LCM(42,25,24,42) = 1058400 / 252

LCM(42,25,24,42) = 4200


Lets's calculate GCF of 50,77,64,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4200/1

Therefore the LCM of Fractions 42/50,25/77,24/64,42/140 is 4200

Greatest Common Factor of 50,77,64,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,77,64,140 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 50,77,64,140 . The biggest common factor number is the GCF number.
So the greatest common factor 50,77,64,140 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 42/50, 25/77, 24/64, 42/140

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 42/50, 25/77, 24/64, 42/140?

Answer: LCM of Numerators as per given numbers 42/50, 25/77, 24/64, 42/140 is

LCM of Numerators i.e. for 42,25,24,42 is 4200

GCF of denominators i.e. for 50,77,64,140 is 1.

Thus, LCM of Fractions is 4200.Finally, LCM of Fractions for 42/50, 25/77, 24/64, 42/140 is 4200.