Least Common Multiple of 430/557, 430/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 430/557, 430/976 quickly i.e. 430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/557, 430/976 is 430.

LCM(430/557, 430/976) = 430

LCM of 430/557, 430/976

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 430/557,430/976

Given numbers are 430/557,430/976

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 430,430

Least Common Multiple of Numerators i.e. LCM of 430,430 is 430.

GCF of Denominators means GCF of 557,976 as per the given fractions.

GCF of 557,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,430

LCM of Fractions 430/557,430/976 is 430

2 430, 430
5 215, 215
43 43, 43
1, 1

∴ So the LCM of the given numbers is 2 x 5 x 43 x 1 x 1 = 430

Least Common Multiple of 430,430 with GCF Formula

Least Common Multiple of 430,430 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 430,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,430) = 430

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

GCF(430,430) x common factors =430 x 1 = 430

LCM(430,430) = ( 430 × 430 ) / 430

LCM(430,430) = 184900 / 430

LCM(430,430) = 430


Lets's calculate GCF of 557,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430/1

Therefore the LCM of Fractions 430/557,430/976 is 430

Greatest Common Factor of 557,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,976 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 557,976 . The biggest common factor number is the GCF number.
So the greatest common factor 557,976 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 430/557, 430/976

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 430/557, 430/976?

Answer: LCM of Numerators as per given numbers 430/557, 430/976 is

LCM of Numerators i.e. for 430,430 is 430

GCF of denominators i.e. for 557,976 is 1.

Thus, LCM of Fractions is 430.Finally, LCM of Fractions for 430/557, 430/976 is 430.