Least Common Multiple of 475/66, 752/23, 128/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/66, 752/23, 128/904 quickly i.e. 2857600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/66, 752/23, 128/904 is 2857600.

LCM(475/66, 752/23, 128/904) = 2857600

LCM of 475/66, 752/23, 128/904

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 475/66,752/23,128/904

Given numbers are 475/66,752/23,128/904

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 475,752,128

Least Common Multiple of Numerators i.e. LCM of 475,752,128 is 2857600.

GCF of Denominators means GCF of 66,23,904 as per the given fractions.

GCF of 66,23,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,752,128

LCM of Fractions 475/66,752/23,128/904 is 2857600

2 475, 752, 128
2 475, 376, 64
2 475, 188, 32
2 475, 94, 16
475, 47, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 475 x 47 x 8 = 2857600

Least Common Multiple of 475,752,128 with GCF Formula

Least Common Multiple of 475,752,128 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 475,752,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,752,128) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(475,752,128) x common factors =1 x 16 = 16

LCM(475,752,128) = ( 475 × 752 × 128 ) / 16

LCM(475,752,128) = 45721600 / 16

LCM(475,752,128) = 2857600


Lets's calculate GCF of 66,23,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2857600/1

Therefore the LCM of Fractions 475/66,752/23,128/904 is 2857600

Greatest Common Factor of 66,23,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,23,904 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 66,23,904 . The biggest common factor number is the GCF number.
So the greatest common factor 66,23,904 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 475/66, 752/23, 128/904

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 475/66, 752/23, 128/904?

Answer: LCM of Numerators as per given numbers 475/66, 752/23, 128/904 is

LCM of Numerators i.e. for 475,752,128 is 2857600

GCF of denominators i.e. for 66,23,904 is 1.

Thus, LCM of Fractions is 2857600.Finally, LCM of Fractions for 475/66, 752/23, 128/904 is 2857600.