Least Common Multiple of 7653/642, 6012/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7653/642, 6012/469 quickly i.e. 15336612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7653/642, 6012/469 is 15336612.

LCM(7653/642, 6012/469) = 15336612

LCM of 7653/642, 6012/469

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 7653/642,6012/469

Given numbers are 7653/642,6012/469

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 7653,6012

Least Common Multiple of Numerators i.e. LCM of 7653,6012 is 15336612.

GCF of Denominators means GCF of 642,469 as per the given fractions.

GCF of 642,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7653,6012

LCM of Fractions 7653/642,6012/469 is 15336612

3 7653, 6012
2551, 2004

∴ So the LCM of the given numbers is 3 x 2551 x 2004 = 15336612

Least Common Multiple of 7653,6012 with GCF Formula

Least Common Multiple of 7653,6012 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 7653,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7653,6012) = 3

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

GCF(7653,6012) x common factors =3 x 1 = 3

LCM(7653,6012) = ( 7653 × 6012 ) / 3

LCM(7653,6012) = 46009836 / 3

LCM(7653,6012) = 15336612


Lets's calculate GCF of 642,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15336612/1

Therefore the LCM of Fractions 7653/642,6012/469 is 15336612

Greatest Common Factor of 642,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,469 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 642,469 . The biggest common factor number is the GCF number.
So the greatest common factor 642,469 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 7653/642, 6012/469

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 7653/642, 6012/469?

Answer: LCM of Numerators as per given numbers 7653/642, 6012/469 is

LCM of Numerators i.e. for 7653,6012 is 15336612

GCF of denominators i.e. for 642,469 is 1.

Thus, LCM of Fractions is 15336612.Finally, LCM of Fractions for 7653/642, 6012/469 is 15336612.