Least Common Multiple of 462/680, 5253/7143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/680, 5253/7143 quickly i.e. 808962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/680, 5253/7143 is 808962.

LCM(462/680, 5253/7143) = 808962

LCM of 462/680, 5253/7143

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 462/680,5253/7143

Given numbers are 462/680,5253/7143

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 462,5253

Least Common Multiple of Numerators i.e. LCM of 462,5253 is 808962.

GCF of Denominators means GCF of 680,7143 as per the given fractions.

GCF of 680,7143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,5253

LCM of Fractions 462/680,5253/7143 is 808962

3 462, 5253
154, 1751

∴ So the LCM of the given numbers is 3 x 154 x 1751 = 808962

Least Common Multiple of 462,5253 with GCF Formula

Least Common Multiple of 462,5253 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 462,5253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,5253) = 3

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

GCF(462,5253) x common factors =3 x 1 = 3

LCM(462,5253) = ( 462 × 5253 ) / 3

LCM(462,5253) = 2426886 / 3

LCM(462,5253) = 808962


Lets's calculate GCF of 680,7143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 808962/1

Therefore the LCM of Fractions 462/680,5253/7143 is 808962

Greatest Common Factor of 680,7143 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,7143 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 7143

List of positive integer factors of 7143 that divides 7143 without a remainder.

1,3,2381,7143

Greatest Common Factor

We found the factors 680,7143 . The biggest common factor number is the GCF number.
So the greatest common factor 680,7143 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 462/680, 5253/7143

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 462/680, 5253/7143?

Answer: LCM of Numerators as per given numbers 462/680, 5253/7143 is

LCM of Numerators i.e. for 462,5253 is 808962

GCF of denominators i.e. for 680,7143 is 1.

Thus, LCM of Fractions is 808962.Finally, LCM of Fractions for 462/680, 5253/7143 is 808962.