Least Common Multiple of 912/47, 471/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 912/47, 471/616 quickly i.e. 143184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 912/47, 471/616 is 143184.

LCM(912/47, 471/616) = 143184

LCM of 912/47, 471/616

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 912/47,471/616

Given numbers are 912/47,471/616

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 912,471

Least Common Multiple of Numerators i.e. LCM of 912,471 is 143184.

GCF of Denominators means GCF of 47,616 as per the given fractions.

GCF of 47,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 912,471

LCM of Fractions 912/47,471/616 is 143184

3 912, 471
304, 157

∴ So the LCM of the given numbers is 3 x 304 x 157 = 143184

Least Common Multiple of 912,471 with GCF Formula

Least Common Multiple of 912,471 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 912,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,471) = 3

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

GCF(912,471) x common factors =3 x 1 = 3

LCM(912,471) = ( 912 × 471 ) / 3

LCM(912,471) = 429552 / 3

LCM(912,471) = 143184


Lets's calculate GCF of 47,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143184/1

Therefore the LCM of Fractions 912/47,471/616 is 143184

Greatest Common Factor of 47,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,616 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 47,616 . The biggest common factor number is the GCF number.
So the greatest common factor 47,616 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 912/47, 471/616

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 912/47, 471/616?

Answer: LCM of Numerators as per given numbers 912/47, 471/616 is

LCM of Numerators i.e. for 912,471 is 143184

GCF of denominators i.e. for 47,616 is 1.

Thus, LCM of Fractions is 143184.Finally, LCM of Fractions for 912/47, 471/616 is 143184.