Least Common Multiple of 4570/157, 4228/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4570/157, 4228/116 quickly i.e. 9660980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4570/157, 4228/116 is 9660980.

LCM(4570/157, 4228/116) = 9660980

LCM of 4570/157, 4228/116

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 4570/157,4228/116

Given numbers are 4570/157,4228/116

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 4570,4228

Least Common Multiple of Numerators i.e. LCM of 4570,4228 is 9660980.

GCF of Denominators means GCF of 157,116 as per the given fractions.

GCF of 157,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4570,4228

LCM of Fractions 4570/157,4228/116 is 9660980

2 4570, 4228
2285, 2114

∴ So the LCM of the given numbers is 2 x 2285 x 2114 = 9660980

Least Common Multiple of 4570,4228 with GCF Formula

Least Common Multiple of 4570,4228 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 4570,4228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4570,4228) = 2

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

GCF(4570,4228) x common factors =2 x 1 = 2

LCM(4570,4228) = ( 4570 × 4228 ) / 2

LCM(4570,4228) = 19321960 / 2

LCM(4570,4228) = 9660980


Lets's calculate GCF of 157,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9660980/1

Therefore the LCM of Fractions 4570/157,4228/116 is 9660980

Greatest Common Factor of 157,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,116 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 157,116 . The biggest common factor number is the GCF number.
So the greatest common factor 157,116 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4570/157, 4228/116

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 4570/157, 4228/116?

Answer: LCM of Numerators as per given numbers 4570/157, 4228/116 is

LCM of Numerators i.e. for 4570,4228 is 9660980

GCF of denominators i.e. for 157,116 is 1.

Thus, LCM of Fractions is 9660980.Finally, LCM of Fractions for 4570/157, 4228/116 is 9660980.