Least Common Multiple of 330/648, 793/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 330/648, 793/708 quickly i.e. 261690/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/648, 793/708 is 261690/12.

LCM(330/648, 793/708) = 261690/12

LCM of 330/648, 793/708

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 330/648,793/708

Given numbers are 330/648,793/708

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 330,793

Least Common Multiple of Numerators i.e. LCM of 330,793 is 261690.

GCF of Denominators means GCF of 648,708 as per the given fractions.

GCF of 648,708 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,793

LCM of Fractions 330/648,793/708 is 261690/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 261690

Least Common Multiple of 330,793 with GCF Formula

Least Common Multiple of 330,793 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 330,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,793) = 1

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

GCF(330,793) x common factors =1 x 1 = 1

LCM(330,793) = ( 330 × 793 ) / 1

LCM(330,793) = 261690 / 1

LCM(330,793) = 261690


Lets's calculate GCF of 648,708

2 648, 708
2 324, 354
3 162, 177
54, 59

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261690/12

Therefore the LCM of Fractions 330/648,793/708 is 261690/12

Greatest Common Factor of 648,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,708 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 648,708 . The biggest common factor number is the GCF number.
So the greatest common factor 648,708 is 12.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 330/648, 793/708

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 330/648, 793/708?

Answer: LCM of Numerators as per given numbers 330/648, 793/708 is

LCM of Numerators i.e. for 330,793 is 261690

GCF of denominators i.e. for 648,708 is 12.

Thus, LCM of Fractions is 261690/12.Finally, LCM of Fractions for 330/648, 793/708 is 261690/12.