Least Common Multiple of 6735/921, 6030/9663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6735/921, 6030/9663 quickly i.e. 902490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6735/921, 6030/9663 is 902490.

LCM(6735/921, 6030/9663) = 902490

LCM of 6735/921, 6030/9663

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 6735/921,6030/9663

Given numbers are 6735/921,6030/9663

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 6735,6030

Least Common Multiple of Numerators i.e. LCM of 6735,6030 is 2707470.

GCF of Denominators means GCF of 921,9663 as per the given fractions.

GCF of 921,9663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6735,6030

LCM of Fractions 6735/921,6030/9663 is 902490

3 6735, 6030
5 2245, 2010
449, 402

∴ So the LCM of the given numbers is 3 x 5 x 449 x 402 = 2707470

Least Common Multiple of 6735,6030 with GCF Formula

Least Common Multiple of 6735,6030 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 6735,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6735,6030) = 15

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

GCF(6735,6030) x common factors =15 x 1 = 15

LCM(6735,6030) = ( 6735 × 6030 ) / 15

LCM(6735,6030) = 40612050 / 15

LCM(6735,6030) = 2707470


Lets's calculate GCF of 921,9663

3 921, 9663
307, 3221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2707470/3

Therefore the LCM of Fractions 6735/921,6030/9663 is 902490

Greatest Common Factor of 921,9663 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,9663 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1,3,3221,9663

Greatest Common Factor

We found the factors 921,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 921,9663 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 6735/921, 6030/9663

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 6735/921, 6030/9663?

Answer: LCM of Numerators as per given numbers 6735/921, 6030/9663 is

LCM of Numerators i.e. for 6735,6030 is 2707470

GCF of denominators i.e. for 921,9663 is 3.

Thus, LCM of Fractions is 902490.Finally, LCM of Fractions for 6735/921, 6030/9663 is 902490.