Least Common Multiple of 387/143, 237/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 387/143, 237/963 quickly i.e. 30573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/143, 237/963 is 30573.

LCM(387/143, 237/963) = 30573

LCM of 387/143, 237/963

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 387/143,237/963

Given numbers are 387/143,237/963

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 387,237

Least Common Multiple of Numerators i.e. LCM of 387,237 is 30573.

GCF of Denominators means GCF of 143,963 as per the given fractions.

GCF of 143,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,237

LCM of Fractions 387/143,237/963 is 30573

3 387, 237
129, 79

∴ So the LCM of the given numbers is 3 x 129 x 79 = 30573

Least Common Multiple of 387,237 with GCF Formula

Least Common Multiple of 387,237 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 387,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,237) = 3

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

GCF(387,237) x common factors =3 x 1 = 3

LCM(387,237) = ( 387 × 237 ) / 3

LCM(387,237) = 91719 / 3

LCM(387,237) = 30573


Lets's calculate GCF of 143,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30573/1

Therefore the LCM of Fractions 387/143,237/963 is 30573

Greatest Common Factor of 143,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,963 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 143,963 . The biggest common factor number is the GCF number.
So the greatest common factor 143,963 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 387/143, 237/963

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 387/143, 237/963?

Answer: LCM of Numerators as per given numbers 387/143, 237/963 is

LCM of Numerators i.e. for 387,237 is 30573

GCF of denominators i.e. for 143,963 is 1.

Thus, LCM of Fractions is 30573.Finally, LCM of Fractions for 387/143, 237/963 is 30573.