Least Common Multiple of 237/386, 943/463, 649/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 237/386, 943/463, 649/512 quickly i.e. 145045659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/386, 943/463, 649/512 is 145045659.

LCM(237/386, 943/463, 649/512) = 145045659

LCM of 237/386, 943/463, 649/512

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 237/386,943/463,649/512

Given numbers are 237/386,943/463,649/512

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 237,943,649

Least Common Multiple of Numerators i.e. LCM of 237,943,649 is 145045659.

GCF of Denominators means GCF of 386,463,512 as per the given fractions.

GCF of 386,463,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,943,649

LCM of Fractions 237/386,943/463,649/512 is 145045659

Given numbers has no common factors except 1. So, there LCM is their product i.e 145045659

Least Common Multiple of 237,943,649 with GCF Formula

Least Common Multiple of 237,943,649 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 237,943,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,943,649) = 1

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

GCF(237,943,649) x common factors =1 x 1 = 1

LCM(237,943,649) = ( 237 × 943 × 649 ) / 1

LCM(237,943,649) = 145045659 / 1

LCM(237,943,649) = 145045659


Lets's calculate GCF of 386,463,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145045659/1

Therefore the LCM of Fractions 237/386,943/463,649/512 is 145045659

Greatest Common Factor of 386,463,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,463,512 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 386,463,512 . The biggest common factor number is the GCF number.
So the greatest common factor 386,463,512 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 237/386, 943/463, 649/512

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 237/386, 943/463, 649/512?

Answer: LCM of Numerators as per given numbers 237/386, 943/463, 649/512 is

LCM of Numerators i.e. for 237,943,649 is 145045659

GCF of denominators i.e. for 386,463,512 is 1.

Thus, LCM of Fractions is 145045659.Finally, LCM of Fractions for 237/386, 943/463, 649/512 is 145045659.