Least Common Multiple of 128/87, 988/83, 757/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/87, 988/83, 757/123 quickly i.e. 23933312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/87, 988/83, 757/123 is 23933312.

LCM(128/87, 988/83, 757/123) = 23933312

LCM of 128/87, 988/83, 757/123

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 128/87,988/83,757/123

Given numbers are 128/87,988/83,757/123

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 128,988,757

Least Common Multiple of Numerators i.e. LCM of 128,988,757 is 23933312.

GCF of Denominators means GCF of 87,83,123 as per the given fractions.

GCF of 87,83,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,988,757

LCM of Fractions 128/87,988/83,757/123 is 23933312

2 128, 988, 757
2 64, 494, 757
32, 247, 757

∴ So the LCM of the given numbers is 2 x 2 x 32 x 247 x 757 = 23933312

Least Common Multiple of 128,988,757 with GCF Formula

Least Common Multiple of 128,988,757 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 128,988,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,988,757) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(128,988,757) x common factors =1 x 4 = 4

LCM(128,988,757) = ( 128 × 988 × 757 ) / 4

LCM(128,988,757) = 95733248 / 4

LCM(128,988,757) = 23933312


Lets's calculate GCF of 87,83,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23933312/1

Therefore the LCM of Fractions 128/87,988/83,757/123 is 23933312

Greatest Common Factor of 87,83,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,83,123 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 87,83,123 . The biggest common factor number is the GCF number.
So the greatest common factor 87,83,123 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 128/87, 988/83, 757/123

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 128/87, 988/83, 757/123?

Answer: LCM of Numerators as per given numbers 128/87, 988/83, 757/123 is

LCM of Numerators i.e. for 128,988,757 is 23933312

GCF of denominators i.e. for 87,83,123 is 1.

Thus, LCM of Fractions is 23933312.Finally, LCM of Fractions for 128/87, 988/83, 757/123 is 23933312.