Least Common Multiple of 33/524, 909/33, 707/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/524, 909/33, 707/749 quickly i.e. 69993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/524, 909/33, 707/749 is 69993.

LCM(33/524, 909/33, 707/749) = 69993

LCM of 33/524, 909/33, 707/749

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 33/524,909/33,707/749

Given numbers are 33/524,909/33,707/749

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 33,909,707

Least Common Multiple of Numerators i.e. LCM of 33,909,707 is 69993.

GCF of Denominators means GCF of 524,33,749 as per the given fractions.

GCF of 524,33,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,909,707

LCM of Fractions 33/524,909/33,707/749 is 69993

3 33, 909, 707
101 11, 303, 707
11, 3, 7

∴ So the LCM of the given numbers is 3 x 101 x 11 x 3 x 7 = 69993

Least Common Multiple of 33,909,707 with GCF Formula

Least Common Multiple of 33,909,707 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 33,909,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,909,707) = 1

common factors(in case of two or more numbers have common factors) = 303

GCF(33,909,707) x common factors =1 x 303 = 303

LCM(33,909,707) = ( 33 × 909 × 707 ) / 303

LCM(33,909,707) = 21207879 / 303

LCM(33,909,707) = 69993


Lets's calculate GCF of 524,33,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69993/1

Therefore the LCM of Fractions 33/524,909/33,707/749 is 69993

Greatest Common Factor of 524,33,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,33,749 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 524,33,749 . The biggest common factor number is the GCF number.
So the greatest common factor 524,33,749 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 33/524, 909/33, 707/749

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 33/524, 909/33, 707/749?

Answer: LCM of Numerators as per given numbers 33/524, 909/33, 707/749 is

LCM of Numerators i.e. for 33,909,707 is 69993

GCF of denominators i.e. for 524,33,749 is 1.

Thus, LCM of Fractions is 69993.Finally, LCM of Fractions for 33/524, 909/33, 707/749 is 69993.