Least Common Multiple of 6301/681, 1512/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6301/681, 1512/462 quickly i.e. 3175704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6301/681, 1512/462 is 3175704.

LCM(6301/681, 1512/462) = 3175704

LCM of 6301/681, 1512/462

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 6301/681,1512/462

Given numbers are 6301/681,1512/462

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 6301,1512

Least Common Multiple of Numerators i.e. LCM of 6301,1512 is 9527112.

GCF of Denominators means GCF of 681,462 as per the given fractions.

GCF of 681,462 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6301,1512

LCM of Fractions 6301/681,1512/462 is 3175704

Given numbers has no common factors except 1. So, there LCM is their product i.e 9527112

Least Common Multiple of 6301,1512 with GCF Formula

Least Common Multiple of 6301,1512 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 6301,1512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6301,1512) = 1

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

GCF(6301,1512) x common factors =1 x 1 = 1

LCM(6301,1512) = ( 6301 × 1512 ) / 1

LCM(6301,1512) = 9527112 / 1

LCM(6301,1512) = 9527112


Lets's calculate GCF of 681,462

3 681, 462
227, 154

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9527112/3

Therefore the LCM of Fractions 6301/681,1512/462 is 3175704

Greatest Common Factor of 681,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,462 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 681,462 . The biggest common factor number is the GCF number.
So the greatest common factor 681,462 is 3.


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 6301/681, 1512/462

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 6301/681, 1512/462?

Answer: LCM of Numerators as per given numbers 6301/681, 1512/462 is

LCM of Numerators i.e. for 6301,1512 is 9527112

GCF of denominators i.e. for 681,462 is 3.

Thus, LCM of Fractions is 3175704.Finally, LCM of Fractions for 6301/681, 1512/462 is 3175704.