Least Common Multiple of 36/42, 17/74, 49/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/42, 17/74, 49/371 quickly i.e. 29988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/42, 17/74, 49/371 is 29988.

LCM(36/42, 17/74, 49/371) = 29988

LCM of 36/42, 17/74, 49/371

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 36/42,17/74,49/371

Given numbers are 36/42,17/74,49/371

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 36,17,49

Least Common Multiple of Numerators i.e. LCM of 36,17,49 is 29988.

GCF of Denominators means GCF of 42,74,371 as per the given fractions.

GCF of 42,74,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,17,49

LCM of Fractions 36/42,17/74,49/371 is 29988

Given numbers has no common factors except 1. So, there LCM is their product i.e 29988

Least Common Multiple of 36,17,49 with GCF Formula

Least Common Multiple of 36,17,49 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 36,17,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,17,49) = 1

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

GCF(36,17,49) x common factors =1 x 1 = 1

LCM(36,17,49) = ( 36 × 17 × 49 ) / 1

LCM(36,17,49) = 29988 / 1

LCM(36,17,49) = 29988


Lets's calculate GCF of 42,74,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29988/1

Therefore the LCM of Fractions 36/42,17/74,49/371 is 29988

Greatest Common Factor of 42,74,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,74,371 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 42,74,371 . The biggest common factor number is the GCF number.
So the greatest common factor 42,74,371 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 36/42, 17/74, 49/371

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 36/42, 17/74, 49/371?

Answer: LCM of Numerators as per given numbers 36/42, 17/74, 49/371 is

LCM of Numerators i.e. for 36,17,49 is 29988

GCF of denominators i.e. for 42,74,371 is 1.

Thus, LCM of Fractions is 29988.Finally, LCM of Fractions for 36/42, 17/74, 49/371 is 29988.