Least Common Multiple of 42/73, 82/11, 80/88, 81/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 42/73, 82/11, 80/88, 81/472 quickly i.e. 1859760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/73, 82/11, 80/88, 81/472 is 1859760.

LCM(42/73, 82/11, 80/88, 81/472) = 1859760

LCM of 42/73, 82/11, 80/88, 81/472

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 42/73,82/11,80/88,81/472

Given numbers are 42/73,82/11,80/88,81/472

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 42,82,80,81

Least Common Multiple of Numerators i.e. LCM of 42,82,80,81 is 1859760.

GCF of Denominators means GCF of 73,11,88,472 as per the given fractions.

GCF of 73,11,88,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,82,80,81

LCM of Fractions 42/73,82/11,80/88,81/472 is 1859760

2 42, 82, 80, 81
3 21, 41, 40, 81
7, 41, 40, 27

∴ So the LCM of the given numbers is 2 x 3 x 7 x 41 x 40 x 27 = 1859760

Least Common Multiple of 42,82,80,81 with GCF Formula

Least Common Multiple of 42,82,80,81 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 42,82,80,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,82,80,81) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(42,82,80,81) x common factors =1 x 12 = 12

LCM(42,82,80,81) = ( 42 × 82 × 80 × 81 ) / 12

LCM(42,82,80,81) = 22317120 / 12

LCM(42,82,80,81) = 1859760


Lets's calculate GCF of 73,11,88,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1859760/1

Therefore the LCM of Fractions 42/73,82/11,80/88,81/472 is 1859760

Greatest Common Factor of 73,11,88,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,11,88,472 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 73,11,88,472 . The biggest common factor number is the GCF number.
So the greatest common factor 73,11,88,472 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 42/73, 82/11, 80/88, 81/472

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 42/73, 82/11, 80/88, 81/472?

Answer: LCM of Numerators as per given numbers 42/73, 82/11, 80/88, 81/472 is

LCM of Numerators i.e. for 42,82,80,81 is 1859760

GCF of denominators i.e. for 73,11,88,472 is 1.

Thus, LCM of Fractions is 1859760.Finally, LCM of Fractions for 42/73, 82/11, 80/88, 81/472 is 1859760.