Least Common Multiple of 557/76, 650/96, 991/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/76, 650/96, 991/570 quickly i.e. 179395775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/76, 650/96, 991/570 is 179395775.

LCM(557/76, 650/96, 991/570) = 179395775

LCM of 557/76, 650/96, 991/570

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 557/76,650/96,991/570

Given numbers are 557/76,650/96,991/570

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 557,650,991

Least Common Multiple of Numerators i.e. LCM of 557,650,991 is 358791550.

GCF of Denominators means GCF of 76,96,570 as per the given fractions.

GCF of 76,96,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,650,991

LCM of Fractions 557/76,650/96,991/570 is 179395775

Given numbers has no common factors except 1. So, there LCM is their product i.e 358791550

Least Common Multiple of 557,650,991 with GCF Formula

Least Common Multiple of 557,650,991 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 557,650,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,650,991) = 1

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

GCF(557,650,991) x common factors =1 x 1 = 1

LCM(557,650,991) = ( 557 × 650 × 991 ) / 1

LCM(557,650,991) = 358791550 / 1

LCM(557,650,991) = 358791550


Lets's calculate GCF of 76,96,570

2 76, 96, 570
38, 48, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358791550/2

Therefore the LCM of Fractions 557/76,650/96,991/570 is 179395775

Greatest Common Factor of 76,96,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,96,570 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 76,96,570 . The biggest common factor number is the GCF number.
So the greatest common factor 76,96,570 is 2.


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 557/76, 650/96, 991/570

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 557/76, 650/96, 991/570?

Answer: LCM of Numerators as per given numbers 557/76, 650/96, 991/570 is

LCM of Numerators i.e. for 557,650,991 is 358791550

GCF of denominators i.e. for 76,96,570 is 2.

Thus, LCM of Fractions is 179395775.Finally, LCM of Fractions for 557/76, 650/96, 991/570 is 179395775.