Least Common Multiple of 88/40, 44/64, 75/48, 28/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/40, 44/64, 75/48, 28/657 quickly i.e. 46200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/40, 44/64, 75/48, 28/657 is 46200.

LCM(88/40, 44/64, 75/48, 28/657) = 46200

LCM of 88/40, 44/64, 75/48, 28/657

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 88/40,44/64,75/48,28/657

Given numbers are 88/40,44/64,75/48,28/657

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 88,44,75,28

Least Common Multiple of Numerators i.e. LCM of 88,44,75,28 is 46200.

GCF of Denominators means GCF of 40,64,48,657 as per the given fractions.

GCF of 40,64,48,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,44,75,28

LCM of Fractions 88/40,44/64,75/48,28/657 is 46200

2 88, 44, 75, 28
2 44, 22, 75, 14
11 11, 22, 75, 7
1, 2, 75, 7

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 2 x 75 x 7 = 46200

Least Common Multiple of 88,44,75,28 with GCF Formula

Least Common Multiple of 88,44,75,28 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 88,44,75,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,44,75,28) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(88,44,75,28) x common factors =1 x 176 = 176

LCM(88,44,75,28) = ( 88 × 44 × 75 × 28 ) / 176

LCM(88,44,75,28) = 8131200 / 176

LCM(88,44,75,28) = 46200


Lets's calculate GCF of 40,64,48,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46200/1

Therefore the LCM of Fractions 88/40,44/64,75/48,28/657 is 46200

Greatest Common Factor of 40,64,48,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,64,48,657 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

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 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 40,64,48,657 . The biggest common factor number is the GCF number.
So the greatest common factor 40,64,48,657 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 88/40, 44/64, 75/48, 28/657

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 88/40, 44/64, 75/48, 28/657?

Answer: LCM of Numerators as per given numbers 88/40, 44/64, 75/48, 28/657 is

LCM of Numerators i.e. for 88,44,75,28 is 46200

GCF of denominators i.e. for 40,64,48,657 is 1.

Thus, LCM of Fractions is 46200.Finally, LCM of Fractions for 88/40, 44/64, 75/48, 28/657 is 46200.