Least Common Multiple of 37/71, 333/27, 354/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/71, 333/27, 354/177 quickly i.e. 39294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/71, 333/27, 354/177 is 39294.

LCM(37/71, 333/27, 354/177) = 39294

LCM of 37/71, 333/27, 354/177

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 37/71,333/27,354/177

Given numbers are 37/71,333/27,354/177

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 37,333,354

Least Common Multiple of Numerators i.e. LCM of 37,333,354 is 39294.

GCF of Denominators means GCF of 71,27,177 as per the given fractions.

GCF of 71,27,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,333,354

LCM of Fractions 37/71,333/27,354/177 is 39294

3 37, 333, 354
37 37, 111, 118
1, 3, 118

∴ So the LCM of the given numbers is 3 x 37 x 1 x 3 x 118 = 39294

Least Common Multiple of 37,333,354 with GCF Formula

Least Common Multiple of 37,333,354 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 37,333,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,333,354) = 1

common factors(in case of two or more numbers have common factors) = 111

GCF(37,333,354) x common factors =1 x 111 = 111

LCM(37,333,354) = ( 37 × 333 × 354 ) / 111

LCM(37,333,354) = 4361634 / 111

LCM(37,333,354) = 39294


Lets's calculate GCF of 71,27,177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39294/1

Therefore the LCM of Fractions 37/71,333/27,354/177 is 39294

Greatest Common Factor of 71,27,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,27,177 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 71,27,177 . The biggest common factor number is the GCF number.
So the greatest common factor 71,27,177 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 37/71, 333/27, 354/177

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 37/71, 333/27, 354/177?

Answer: LCM of Numerators as per given numbers 37/71, 333/27, 354/177 is

LCM of Numerators i.e. for 37,333,354 is 39294

GCF of denominators i.e. for 71,27,177 is 1.

Thus, LCM of Fractions is 39294.Finally, LCM of Fractions for 37/71, 333/27, 354/177 is 39294.