Least Common Multiple of 127/428, 7656/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 127/428, 7656/596 quickly i.e. 243078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 127/428, 7656/596 is 243078.

LCM(127/428, 7656/596) = 243078

LCM of 127/428, 7656/596

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 127/428,7656/596

Given numbers are 127/428,7656/596

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 127,7656

Least Common Multiple of Numerators i.e. LCM of 127,7656 is 972312.

GCF of Denominators means GCF of 428,596 as per the given fractions.

GCF of 428,596 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 127,7656

LCM of Fractions 127/428,7656/596 is 243078

Given numbers has no common factors except 1. So, there LCM is their product i.e 972312

Least Common Multiple of 127,7656 with GCF Formula

Least Common Multiple of 127,7656 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 127,7656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,7656) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(127,7656) x common factors =1 x 1 = 1

LCM(127,7656) = ( 127 × 7656 ) / 1

LCM(127,7656) = 972312 / 1

LCM(127,7656) = 972312


Lets's calculate GCF of 428,596

2 428, 596
2 214, 298
107, 149

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972312/4

Therefore the LCM of Fractions 127/428,7656/596 is 243078

Greatest Common Factor of 428,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,596 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 428,596 . The biggest common factor number is the GCF number.
So the greatest common factor 428,596 is 4.


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 127/428, 7656/596

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 127/428, 7656/596?

Answer: LCM of Numerators as per given numbers 127/428, 7656/596 is

LCM of Numerators i.e. for 127,7656 is 972312

GCF of denominators i.e. for 428,596 is 4.

Thus, LCM of Fractions is 243078.Finally, LCM of Fractions for 127/428, 7656/596 is 243078.