Least Common Multiple of 3/42, 5/72, 71/80, 82/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/42, 5/72, 71/80, 82/381 quickly i.e. 87330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/42, 5/72, 71/80, 82/381 is 87330.

LCM(3/42, 5/72, 71/80, 82/381) = 87330

LCM of 3/42, 5/72, 71/80, 82/381

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 3/42,5/72,71/80,82/381

Given numbers are 3/42,5/72,71/80,82/381

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 3,5,71,82

Least Common Multiple of Numerators i.e. LCM of 3,5,71,82 is 87330.

GCF of Denominators means GCF of 42,72,80,381 as per the given fractions.

GCF of 42,72,80,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,5,71,82

LCM of Fractions 3/42,5/72,71/80,82/381 is 87330

Given numbers has no common factors except 1. So, there LCM is their product i.e 87330

Least Common Multiple of 3,5,71,82 with GCF Formula

Least Common Multiple of 3,5,71,82 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 3,5,71,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,5,71,82) = 1

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

GCF(3,5,71,82) x common factors =1 x 1 = 1

LCM(3,5,71,82) = ( 3 × 5 × 71 × 82 ) / 1

LCM(3,5,71,82) = 87330 / 1

LCM(3,5,71,82) = 87330


Lets's calculate GCF of 42,72,80,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87330/1

Therefore the LCM of Fractions 3/42,5/72,71/80,82/381 is 87330

Greatest Common Factor of 42,72,80,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,72,80,381 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 42,72,80,381 . The biggest common factor number is the GCF number.
So the greatest common factor 42,72,80,381 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3/42, 5/72, 71/80, 82/381

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 3/42, 5/72, 71/80, 82/381?

Answer: LCM of Numerators as per given numbers 3/42, 5/72, 71/80, 82/381 is

LCM of Numerators i.e. for 3,5,71,82 is 87330

GCF of denominators i.e. for 42,72,80,381 is 1.

Thus, LCM of Fractions is 87330.Finally, LCM of Fractions for 3/42, 5/72, 71/80, 82/381 is 87330.