Least Common Multiple of 45/75, 332/42, 521/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/75, 332/42, 521/909 quickly i.e. 2594580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/75, 332/42, 521/909 is 2594580.

LCM(45/75, 332/42, 521/909) = 2594580

LCM of 45/75, 332/42, 521/909

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 45/75,332/42,521/909

Given numbers are 45/75,332/42,521/909

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 45,332,521

Least Common Multiple of Numerators i.e. LCM of 45,332,521 is 7783740.

GCF of Denominators means GCF of 75,42,909 as per the given fractions.

GCF of 75,42,909 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,332,521

LCM of Fractions 45/75,332/42,521/909 is 2594580

Given numbers has no common factors except 1. So, there LCM is their product i.e 7783740

Least Common Multiple of 45,332,521 with GCF Formula

Least Common Multiple of 45,332,521 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 45,332,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,332,521) = 1

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

GCF(45,332,521) x common factors =1 x 1 = 1

LCM(45,332,521) = ( 45 × 332 × 521 ) / 1

LCM(45,332,521) = 7783740 / 1

LCM(45,332,521) = 7783740


Lets's calculate GCF of 75,42,909

3 75, 42, 909
25, 14, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7783740/3

Therefore the LCM of Fractions 45/75,332/42,521/909 is 2594580

Greatest Common Factor of 75,42,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,42,909 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 75,42,909 . The biggest common factor number is the GCF number.
So the greatest common factor 75,42,909 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 45/75, 332/42, 521/909

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 45/75, 332/42, 521/909?

Answer: LCM of Numerators as per given numbers 45/75, 332/42, 521/909 is

LCM of Numerators i.e. for 45,332,521 is 7783740

GCF of denominators i.e. for 75,42,909 is 3.

Thus, LCM of Fractions is 2594580.Finally, LCM of Fractions for 45/75, 332/42, 521/909 is 2594580.