Least Common Multiple of 47/53, 979/64, 907/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/53, 979/64, 907/904 quickly i.e. 41733791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/53, 979/64, 907/904 is 41733791.

LCM(47/53, 979/64, 907/904) = 41733791

LCM of 47/53, 979/64, 907/904

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 47/53,979/64,907/904

Given numbers are 47/53,979/64,907/904

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 47,979,907

Least Common Multiple of Numerators i.e. LCM of 47,979,907 is 41733791.

GCF of Denominators means GCF of 53,64,904 as per the given fractions.

GCF of 53,64,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,979,907

LCM of Fractions 47/53,979/64,907/904 is 41733791

Given numbers has no common factors except 1. So, there LCM is their product i.e 41733791

Least Common Multiple of 47,979,907 with GCF Formula

Least Common Multiple of 47,979,907 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 47,979,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,979,907) = 1

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

GCF(47,979,907) x common factors =1 x 1 = 1

LCM(47,979,907) = ( 47 × 979 × 907 ) / 1

LCM(47,979,907) = 41733791 / 1

LCM(47,979,907) = 41733791


Lets's calculate GCF of 53,64,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41733791/1

Therefore the LCM of Fractions 47/53,979/64,907/904 is 41733791

Greatest Common Factor of 53,64,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,64,904 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 53,64,904 . The biggest common factor number is the GCF number.
So the greatest common factor 53,64,904 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/53, 979/64, 907/904

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 47/53, 979/64, 907/904?

Answer: LCM of Numerators as per given numbers 47/53, 979/64, 907/904 is

LCM of Numerators i.e. for 47,979,907 is 41733791

GCF of denominators i.e. for 53,64,904 is 1.

Thus, LCM of Fractions is 41733791.Finally, LCM of Fractions for 47/53, 979/64, 907/904 is 41733791.