Least Common Multiple of 33/762, 12/949, 264/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/762, 12/949, 264/652 quickly i.e. 264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/762, 12/949, 264/652 is 264.

LCM(33/762, 12/949, 264/652) = 264

LCM of 33/762, 12/949, 264/652

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 33/762,12/949,264/652

Given numbers are 33/762,12/949,264/652

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 33,12,264

Least Common Multiple of Numerators i.e. LCM of 33,12,264 is 264.

GCF of Denominators means GCF of 762,949,652 as per the given fractions.

GCF of 762,949,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,12,264

LCM of Fractions 33/762,12/949,264/652 is 264

2 33, 12, 264
2 33, 6, 132
3 33, 3, 66
11 11, 1, 22
1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 1 x 2 = 264

Least Common Multiple of 33,12,264 with GCF Formula

Least Common Multiple of 33,12,264 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 33,12,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,12,264) = 3

common factors(in case of two or more numbers have common factors) = 132

GCF(33,12,264) x common factors =3 x 132 = 396

LCM(33,12,264) = ( 33 × 12 × 264 ) / 396

LCM(33,12,264) = 104544 / 396

LCM(33,12,264) = 264


Lets's calculate GCF of 762,949,652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264/1

Therefore the LCM of Fractions 33/762,12/949,264/652 is 264

Greatest Common Factor of 762,949,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,949,652 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 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 762,949,652 . The biggest common factor number is the GCF number.
So the greatest common factor 762,949,652 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 33/762, 12/949, 264/652

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 33/762, 12/949, 264/652?

Answer: LCM of Numerators as per given numbers 33/762, 12/949, 264/652 is

LCM of Numerators i.e. for 33,12,264 is 264

GCF of denominators i.e. for 762,949,652 is 1.

Thus, LCM of Fractions is 264.Finally, LCM of Fractions for 33/762, 12/949, 264/652 is 264.