Least Common Multiple of 964/468, 723/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/468, 723/260 quickly i.e. 2892/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/468, 723/260 is 2892/52.

LCM(964/468, 723/260) = 2892/52

LCM of 964/468, 723/260

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 964/468,723/260

Given numbers are 964/468,723/260

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 964,723

Least Common Multiple of Numerators i.e. LCM of 964,723 is 2892.

GCF of Denominators means GCF of 468,260 as per the given fractions.

GCF of 468,260 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,723

LCM of Fractions 964/468,723/260 is 2892/52

241 964, 723
4, 3

∴ So the LCM of the given numbers is 241 x 4 x 3 = 2892

Least Common Multiple of 964,723 with GCF Formula

Least Common Multiple of 964,723 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 964,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,723) = 241

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

GCF(964,723) x common factors =241 x 1 = 241

LCM(964,723) = ( 964 × 723 ) / 241

LCM(964,723) = 696972 / 241

LCM(964,723) = 2892


Lets's calculate GCF of 468,260

2 468, 260
2 234, 130
13 117, 65
9, 5

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2892/52

Therefore the LCM of Fractions 964/468,723/260 is 2892/52

Greatest Common Factor of 468,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,260 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

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

Greatest Common Factor

We found the factors 468,260 . The biggest common factor number is the GCF number.
So the greatest common factor 468,260 is 52.


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 964/468, 723/260

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 964/468, 723/260?

Answer: LCM of Numerators as per given numbers 964/468, 723/260 is

LCM of Numerators i.e. for 964,723 is 2892

GCF of denominators i.e. for 468,260 is 52.

Thus, LCM of Fractions is 2892/52.Finally, LCM of Fractions for 964/468, 723/260 is 2892/52.