Least Common Multiple of 64/125, 448/274, 472/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/125, 448/274, 472/626 quickly i.e. 26432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/125, 448/274, 472/626 is 26432.

LCM(64/125, 448/274, 472/626) = 26432

LCM of 64/125, 448/274, 472/626

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 64/125,448/274,472/626

Given numbers are 64/125,448/274,472/626

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 64,448,472

Least Common Multiple of Numerators i.e. LCM of 64,448,472 is 26432.

GCF of Denominators means GCF of 125,274,626 as per the given fractions.

GCF of 125,274,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,448,472

LCM of Fractions 64/125,448/274,472/626 is 26432

2 64, 448, 472
2 32, 224, 236
2 16, 112, 118
2 8, 56, 59
2 4, 28, 59
2 2, 14, 59
1, 7, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 7 x 59 = 26432

Least Common Multiple of 64,448,472 with GCF Formula

Least Common Multiple of 64,448,472 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 64,448,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,448,472) = 8

common factors(in case of two or more numbers have common factors) = 64

GCF(64,448,472) x common factors =8 x 64 = 512

LCM(64,448,472) = ( 64 × 448 × 472 ) / 512

LCM(64,448,472) = 13533184 / 512

LCM(64,448,472) = 26432


Lets's calculate GCF of 125,274,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26432/1

Therefore the LCM of Fractions 64/125,448/274,472/626 is 26432

Greatest Common Factor of 125,274,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,274,626 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 125,274,626 . The biggest common factor number is the GCF number.
So the greatest common factor 125,274,626 is 1.


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 64/125, 448/274, 472/626

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 64/125, 448/274, 472/626?

Answer: LCM of Numerators as per given numbers 64/125, 448/274, 472/626 is

LCM of Numerators i.e. for 64,448,472 is 26432

GCF of denominators i.e. for 125,274,626 is 1.

Thus, LCM of Fractions is 26432.Finally, LCM of Fractions for 64/125, 448/274, 472/626 is 26432.