Least Common Multiple of 2163/762, 6798/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2163/762, 6798/725 quickly i.e. 47586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2163/762, 6798/725 is 47586.

LCM(2163/762, 6798/725) = 47586

LCM of 2163/762, 6798/725

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 2163/762,6798/725

Given numbers are 2163/762,6798/725

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 2163,6798

Least Common Multiple of Numerators i.e. LCM of 2163,6798 is 47586.

GCF of Denominators means GCF of 762,725 as per the given fractions.

GCF of 762,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2163,6798

LCM of Fractions 2163/762,6798/725 is 47586

3 2163, 6798
103 721, 2266
7, 22

∴ So the LCM of the given numbers is 3 x 103 x 7 x 22 = 47586

Least Common Multiple of 2163,6798 with GCF Formula

Least Common Multiple of 2163,6798 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 2163,6798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2163,6798) = 309

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

GCF(2163,6798) x common factors =309 x 1 = 309

LCM(2163,6798) = ( 2163 × 6798 ) / 309

LCM(2163,6798) = 14704074 / 309

LCM(2163,6798) = 47586


Lets's calculate GCF of 762,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47586/1

Therefore the LCM of Fractions 2163/762,6798/725 is 47586

Greatest Common Factor of 762,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,725 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 762,725 . The biggest common factor number is the GCF number.
So the greatest common factor 762,725 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 2163/762, 6798/725

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 2163/762, 6798/725?

Answer: LCM of Numerators as per given numbers 2163/762, 6798/725 is

LCM of Numerators i.e. for 2163,6798 is 47586

GCF of denominators i.e. for 762,725 is 1.

Thus, LCM of Fractions is 47586.Finally, LCM of Fractions for 2163/762, 6798/725 is 47586.