Least Common Multiple of 476/15, 240/38, 925/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/15, 240/38, 925/656 quickly i.e. 5283600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/15, 240/38, 925/656 is 5283600.

LCM(476/15, 240/38, 925/656) = 5283600

LCM of 476/15, 240/38, 925/656

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 476/15,240/38,925/656

Given numbers are 476/15,240/38,925/656

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 476,240,925

Least Common Multiple of Numerators i.e. LCM of 476,240,925 is 5283600.

GCF of Denominators means GCF of 15,38,656 as per the given fractions.

GCF of 15,38,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,240,925

LCM of Fractions 476/15,240/38,925/656 is 5283600

2 476, 240, 925
2 238, 120, 925
5 119, 60, 925
119, 12, 185

∴ So the LCM of the given numbers is 2 x 2 x 5 x 119 x 12 x 185 = 5283600

Least Common Multiple of 476,240,925 with GCF Formula

Least Common Multiple of 476,240,925 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 476,240,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,240,925) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(476,240,925) x common factors =1 x 20 = 20

LCM(476,240,925) = ( 476 × 240 × 925 ) / 20

LCM(476,240,925) = 105672000 / 20

LCM(476,240,925) = 5283600


Lets's calculate GCF of 15,38,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5283600/1

Therefore the LCM of Fractions 476/15,240/38,925/656 is 5283600

Greatest Common Factor of 15,38,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,38,656 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 15,38,656 . The biggest common factor number is the GCF number.
So the greatest common factor 15,38,656 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 476/15, 240/38, 925/656

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 476/15, 240/38, 925/656?

Answer: LCM of Numerators as per given numbers 476/15, 240/38, 925/656 is

LCM of Numerators i.e. for 476,240,925 is 5283600

GCF of denominators i.e. for 15,38,656 is 1.

Thus, LCM of Fractions is 5283600.Finally, LCM of Fractions for 476/15, 240/38, 925/656 is 5283600.