Least Common Multiple of 460/72, 3268/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/72, 3268/900 quickly i.e. 375820/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/72, 3268/900 is 375820/36.

LCM(460/72, 3268/900) = 375820/36

LCM of 460/72, 3268/900

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 460/72,3268/900

Given numbers are 460/72,3268/900

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 460,3268

Least Common Multiple of Numerators i.e. LCM of 460,3268 is 375820.

GCF of Denominators means GCF of 72,900 as per the given fractions.

GCF of 72,900 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,3268

LCM of Fractions 460/72,3268/900 is 375820/36

2 460, 3268
2 230, 1634
115, 817

∴ So the LCM of the given numbers is 2 x 2 x 115 x 817 = 375820

Least Common Multiple of 460,3268 with GCF Formula

Least Common Multiple of 460,3268 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 460,3268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,3268) = 4

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

GCF(460,3268) x common factors =4 x 1 = 4

LCM(460,3268) = ( 460 × 3268 ) / 4

LCM(460,3268) = 1503280 / 4

LCM(460,3268) = 375820


Lets's calculate GCF of 72,900

2 72, 900
2 36, 450
3 18, 225
3 6, 75
2, 25

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375820/36

Therefore the LCM of Fractions 460/72,3268/900 is 375820/36

Greatest Common Factor of 72,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,900 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 72,900 . The biggest common factor number is the GCF number.
So the greatest common factor 72,900 is 36.


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 460/72, 3268/900

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 460/72, 3268/900?

Answer: LCM of Numerators as per given numbers 460/72, 3268/900 is

LCM of Numerators i.e. for 460,3268 is 375820

GCF of denominators i.e. for 72,900 is 36.

Thus, LCM of Fractions is 375820/36.Finally, LCM of Fractions for 460/72, 3268/900 is 375820/36.