Least Common Multiple of 1476/645, 4252/8382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1476/645, 4252/8382 quickly i.e. 522996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1476/645, 4252/8382 is 522996.

LCM(1476/645, 4252/8382) = 522996

LCM of 1476/645, 4252/8382

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 1476/645,4252/8382

Given numbers are 1476/645,4252/8382

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 1476,4252

Least Common Multiple of Numerators i.e. LCM of 1476,4252 is 1568988.

GCF of Denominators means GCF of 645,8382 as per the given fractions.

GCF of 645,8382 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1476,4252

LCM of Fractions 1476/645,4252/8382 is 522996

2 1476, 4252
2 738, 2126
369, 1063

∴ So the LCM of the given numbers is 2 x 2 x 369 x 1063 = 1568988

Least Common Multiple of 1476,4252 with GCF Formula

Least Common Multiple of 1476,4252 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 1476,4252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1476,4252) = 4

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

GCF(1476,4252) x common factors =4 x 1 = 4

LCM(1476,4252) = ( 1476 × 4252 ) / 4

LCM(1476,4252) = 6275952 / 4

LCM(1476,4252) = 1568988


Lets's calculate GCF of 645,8382

3 645, 8382
215, 2794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1568988/3

Therefore the LCM of Fractions 1476/645,4252/8382 is 522996

Greatest Common Factor of 645,8382 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,8382 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Greatest Common Factor

We found the factors 645,8382 . The biggest common factor number is the GCF number.
So the greatest common factor 645,8382 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 1476/645, 4252/8382

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 1476/645, 4252/8382?

Answer: LCM of Numerators as per given numbers 1476/645, 4252/8382 is

LCM of Numerators i.e. for 1476,4252 is 1568988

GCF of denominators i.e. for 645,8382 is 3.

Thus, LCM of Fractions is 522996.Finally, LCM of Fractions for 1476/645, 4252/8382 is 522996.