Least Common Multiple of 96/430, 274/570, 472/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/430, 274/570, 472/425 quickly i.e. 775968/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/430, 274/570, 472/425 is 775968/5.

LCM(96/430, 274/570, 472/425) = 775968/5

LCM of 96/430, 274/570, 472/425

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 96/430,274/570,472/425

Given numbers are 96/430,274/570,472/425

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 96,274,472

Least Common Multiple of Numerators i.e. LCM of 96,274,472 is 775968.

GCF of Denominators means GCF of 430,570,425 as per the given fractions.

GCF of 430,570,425 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,274,472

LCM of Fractions 96/430,274/570,472/425 is 775968/5

2 96, 274, 472
2 48, 137, 236
2 24, 137, 118
12, 137, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 137 x 59 = 775968

Least Common Multiple of 96,274,472 with GCF Formula

Least Common Multiple of 96,274,472 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 96,274,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,274,472) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(96,274,472) x common factors =2 x 8 = 16

LCM(96,274,472) = ( 96 × 274 × 472 ) / 16

LCM(96,274,472) = 12415488 / 16

LCM(96,274,472) = 775968


Lets's calculate GCF of 430,570,425

5 430, 570, 425
86, 114, 85

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775968/5

Therefore the LCM of Fractions 96/430,274/570,472/425 is 775968/5

Greatest Common Factor of 430,570,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,570,425 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

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

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 430,570,425 . The biggest common factor number is the GCF number.
So the greatest common factor 430,570,425 is 5.


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 96/430, 274/570, 472/425

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 96/430, 274/570, 472/425?

Answer: LCM of Numerators as per given numbers 96/430, 274/570, 472/425 is

LCM of Numerators i.e. for 96,274,472 is 775968

GCF of denominators i.e. for 430,570,425 is 5.

Thus, LCM of Fractions is 775968/5.Finally, LCM of Fractions for 96/430, 274/570, 472/425 is 775968/5.