Least Common Multiple of 37/381, 51/747, 359/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/381, 51/747, 359/275 quickly i.e. 677433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/381, 51/747, 359/275 is 677433.

LCM(37/381, 51/747, 359/275) = 677433

LCM of 37/381, 51/747, 359/275

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 37/381,51/747,359/275

Given numbers are 37/381,51/747,359/275

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 37,51,359

Least Common Multiple of Numerators i.e. LCM of 37,51,359 is 677433.

GCF of Denominators means GCF of 381,747,275 as per the given fractions.

GCF of 381,747,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,51,359

LCM of Fractions 37/381,51/747,359/275 is 677433

Given numbers has no common factors except 1. So, there LCM is their product i.e 677433

Least Common Multiple of 37,51,359 with GCF Formula

Least Common Multiple of 37,51,359 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 37,51,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,51,359) = 1

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

GCF(37,51,359) x common factors =1 x 1 = 1

LCM(37,51,359) = ( 37 × 51 × 359 ) / 1

LCM(37,51,359) = 677433 / 1

LCM(37,51,359) = 677433


Lets's calculate GCF of 381,747,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 677433/1

Therefore the LCM of Fractions 37/381,51/747,359/275 is 677433

Greatest Common Factor of 381,747,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,747,275 By Matching Biggest Common Factor Method

Factors of 381

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

1,3,127,381

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 381,747,275 . The biggest common factor number is the GCF number.
So the greatest common factor 381,747,275 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 37/381, 51/747, 359/275

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 37/381, 51/747, 359/275?

Answer: LCM of Numerators as per given numbers 37/381, 51/747, 359/275 is

LCM of Numerators i.e. for 37,51,359 is 677433

GCF of denominators i.e. for 381,747,275 is 1.

Thus, LCM of Fractions is 677433.Finally, LCM of Fractions for 37/381, 51/747, 359/275 is 677433.