Least Common Multiple of 260/260, 604/964, 453/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/260, 604/964, 453/132 quickly i.e. 29445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/260, 604/964, 453/132 is 29445.

LCM(260/260, 604/964, 453/132) = 29445

LCM of 260/260, 604/964, 453/132

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 260/260,604/964,453/132

Given numbers are 260/260,604/964,453/132

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 260,604,453

Least Common Multiple of Numerators i.e. LCM of 260,604,453 is 117780.

GCF of Denominators means GCF of 260,964,132 as per the given fractions.

GCF of 260,964,132 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,604,453

LCM of Fractions 260/260,604/964,453/132 is 29445

2 260, 604, 453
2 130, 302, 453
151 65, 151, 453
65, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 151 x 65 x 1 x 3 = 117780

Least Common Multiple of 260,604,453 with GCF Formula

Least Common Multiple of 260,604,453 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 260,604,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,604,453) = 1

common factors(in case of two or more numbers have common factors) = 604

GCF(260,604,453) x common factors =1 x 604 = 604

LCM(260,604,453) = ( 260 × 604 × 453 ) / 604

LCM(260,604,453) = 71139120 / 604

LCM(260,604,453) = 117780


Lets's calculate GCF of 260,964,132

2 260, 964, 132
2 130, 482, 66
65, 241, 33

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117780/4

Therefore the LCM of Fractions 260/260,604/964,453/132 is 29445

Greatest Common Factor of 260,964,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,964,132 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 260,964,132 . The biggest common factor number is the GCF number.
So the greatest common factor 260,964,132 is 4.


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 260/260, 604/964, 453/132

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 260/260, 604/964, 453/132?

Answer: LCM of Numerators as per given numbers 260/260, 604/964, 453/132 is

LCM of Numerators i.e. for 260,604,453 is 117780

GCF of denominators i.e. for 260,964,132 is 4.

Thus, LCM of Fractions is 29445.Finally, LCM of Fractions for 260/260, 604/964, 453/132 is 29445.