Least Common Multiple of 48/30, 547/76, 191/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/30, 547/76, 191/912 quickly i.e. 2507448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/30, 547/76, 191/912 is 2507448.

LCM(48/30, 547/76, 191/912) = 2507448

LCM of 48/30, 547/76, 191/912

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 48/30,547/76,191/912

Given numbers are 48/30,547/76,191/912

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 48,547,191

Least Common Multiple of Numerators i.e. LCM of 48,547,191 is 5014896.

GCF of Denominators means GCF of 30,76,912 as per the given fractions.

GCF of 30,76,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,547,191

LCM of Fractions 48/30,547/76,191/912 is 2507448

Given numbers has no common factors except 1. So, there LCM is their product i.e 5014896

Least Common Multiple of 48,547,191 with GCF Formula

Least Common Multiple of 48,547,191 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 48,547,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,547,191) = 1

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

GCF(48,547,191) x common factors =1 x 1 = 1

LCM(48,547,191) = ( 48 × 547 × 191 ) / 1

LCM(48,547,191) = 5014896 / 1

LCM(48,547,191) = 5014896


Lets's calculate GCF of 30,76,912

2 30, 76, 912
15, 38, 456

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5014896/2

Therefore the LCM of Fractions 48/30,547/76,191/912 is 2507448

Greatest Common Factor of 30,76,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,76,912 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 30,76,912 . The biggest common factor number is the GCF number.
So the greatest common factor 30,76,912 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 48/30, 547/76, 191/912

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 48/30, 547/76, 191/912?

Answer: LCM of Numerators as per given numbers 48/30, 547/76, 191/912 is

LCM of Numerators i.e. for 48,547,191 is 5014896

GCF of denominators i.e. for 30,76,912 is 2.

Thus, LCM of Fractions is 2507448.Finally, LCM of Fractions for 48/30, 547/76, 191/912 is 2507448.