Least Common Multiple of 73/71, 76/61, 48/22, 73/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/71, 76/61, 48/22, 73/481 quickly i.e. 66576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/71, 76/61, 48/22, 73/481 is 66576.

LCM(73/71, 76/61, 48/22, 73/481) = 66576

LCM of 73/71, 76/61, 48/22, 73/481

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 73/71,76/61,48/22,73/481

Given numbers are 73/71,76/61,48/22,73/481

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 73,76,48,73

Least Common Multiple of Numerators i.e. LCM of 73,76,48,73 is 66576.

GCF of Denominators means GCF of 71,61,22,481 as per the given fractions.

GCF of 71,61,22,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,76,48,73

LCM of Fractions 73/71,76/61,48/22,73/481 is 66576

2 73, 76, 48, 73
2 73, 38, 24, 73
73 73, 19, 12, 73
1, 19, 12, 1

∴ So the LCM of the given numbers is 2 x 2 x 73 x 1 x 19 x 12 x 1 = 66576

Least Common Multiple of 73,76,48,73 with GCF Formula

Least Common Multiple of 73,76,48,73 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 73,76,48,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,76,48,73) = 1

common factors(in case of two or more numbers have common factors) = 292

GCF(73,76,48,73) x common factors =1 x 292 = 292

LCM(73,76,48,73) = ( 73 × 76 × 48 × 73 ) / 292

LCM(73,76,48,73) = 19440192 / 292

LCM(73,76,48,73) = 66576


Lets's calculate GCF of 71,61,22,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66576/1

Therefore the LCM of Fractions 73/71,76/61,48/22,73/481 is 66576

Greatest Common Factor of 71,61,22,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,61,22,481 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 71,61,22,481 . The biggest common factor number is the GCF number.
So the greatest common factor 71,61,22,481 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/71, 76/61, 48/22, 73/481

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 73/71, 76/61, 48/22, 73/481?

Answer: LCM of Numerators as per given numbers 73/71, 76/61, 48/22, 73/481 is

LCM of Numerators i.e. for 73,76,48,73 is 66576

GCF of denominators i.e. for 71,61,22,481 is 1.

Thus, LCM of Fractions is 66576.Finally, LCM of Fractions for 73/71, 76/61, 48/22, 73/481 is 66576.