Least Common Multiple of 900/60, 461/3075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/60, 461/3075 quickly i.e. 27660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/60, 461/3075 is 27660.

LCM(900/60, 461/3075) = 27660

LCM of 900/60, 461/3075

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 900/60,461/3075

Given numbers are 900/60,461/3075

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 900,461

Least Common Multiple of Numerators i.e. LCM of 900,461 is 414900.

GCF of Denominators means GCF of 60,3075 as per the given fractions.

GCF of 60,3075 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,461

LCM of Fractions 900/60,461/3075 is 27660

Given numbers has no common factors except 1. So, there LCM is their product i.e 414900

Least Common Multiple of 900,461 with GCF Formula

Least Common Multiple of 900,461 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 900,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,461) = 1

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

GCF(900,461) x common factors =1 x 1 = 1

LCM(900,461) = ( 900 × 461 ) / 1

LCM(900,461) = 414900 / 1

LCM(900,461) = 414900


Lets's calculate GCF of 60,3075

3 60, 3075
5 20, 1025
4, 205

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414900/15

Therefore the LCM of Fractions 900/60,461/3075 is 27660

Greatest Common Factor of 60,3075 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,3075 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Greatest Common Factor

We found the factors 60,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 60,3075 is 15.


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 900/60, 461/3075

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 900/60, 461/3075?

Answer: LCM of Numerators as per given numbers 900/60, 461/3075 is

LCM of Numerators i.e. for 900,461 is 414900

GCF of denominators i.e. for 60,3075 is 15.

Thus, LCM of Fractions is 27660.Finally, LCM of Fractions for 900/60, 461/3075 is 27660.