Least Common Multiple of 60/452, 675/906, 585/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/452, 675/906, 585/203 quickly i.e. 35100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/452, 675/906, 585/203 is 35100.

LCM(60/452, 675/906, 585/203) = 35100

LCM of 60/452, 675/906, 585/203

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 60/452,675/906,585/203

Given numbers are 60/452,675/906,585/203

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 60,675,585

Least Common Multiple of Numerators i.e. LCM of 60,675,585 is 35100.

GCF of Denominators means GCF of 452,906,203 as per the given fractions.

GCF of 452,906,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,675,585

LCM of Fractions 60/452,675/906,585/203 is 35100

3 60, 675, 585
3 20, 225, 195
5 20, 75, 65
4, 15, 13

∴ So the LCM of the given numbers is 3 x 3 x 5 x 4 x 15 x 13 = 35100

Least Common Multiple of 60,675,585 with GCF Formula

Least Common Multiple of 60,675,585 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 60,675,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,675,585) = 15

common factors(in case of two or more numbers have common factors) = 45

GCF(60,675,585) x common factors =15 x 45 = 675

LCM(60,675,585) = ( 60 × 675 × 585 ) / 675

LCM(60,675,585) = 23692500 / 675

LCM(60,675,585) = 35100


Lets's calculate GCF of 452,906,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35100/1

Therefore the LCM of Fractions 60/452,675/906,585/203 is 35100

Greatest Common Factor of 452,906,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,906,203 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 452,906,203 . The biggest common factor number is the GCF number.
So the greatest common factor 452,906,203 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 60/452, 675/906, 585/203

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 60/452, 675/906, 585/203?

Answer: LCM of Numerators as per given numbers 60/452, 675/906, 585/203 is

LCM of Numerators i.e. for 60,675,585 is 35100

GCF of denominators i.e. for 452,906,203 is 1.

Thus, LCM of Fractions is 35100.Finally, LCM of Fractions for 60/452, 675/906, 585/203 is 35100.