Least Common Multiple of 723/260, 398/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/260, 398/949 quickly i.e. 287754/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/260, 398/949 is 287754/13.

LCM(723/260, 398/949) = 287754/13

LCM of 723/260, 398/949

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 723/260,398/949

Given numbers are 723/260,398/949

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 723,398

Least Common Multiple of Numerators i.e. LCM of 723,398 is 287754.

GCF of Denominators means GCF of 260,949 as per the given fractions.

GCF of 260,949 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,398

LCM of Fractions 723/260,398/949 is 287754/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 287754

Least Common Multiple of 723,398 with GCF Formula

Least Common Multiple of 723,398 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 723,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,398) = 1

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

GCF(723,398) x common factors =1 x 1 = 1

LCM(723,398) = ( 723 × 398 ) / 1

LCM(723,398) = 287754 / 1

LCM(723,398) = 287754


Lets's calculate GCF of 260,949

13 260, 949
20, 73

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287754/13

Therefore the LCM of Fractions 723/260,398/949 is 287754/13

Greatest Common Factor of 260,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,949 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 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 260,949 . The biggest common factor number is the GCF number.
So the greatest common factor 260,949 is 13.


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 723/260, 398/949

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 723/260, 398/949?

Answer: LCM of Numerators as per given numbers 723/260, 398/949 is

LCM of Numerators i.e. for 723,398 is 287754

GCF of denominators i.e. for 260,949 is 13.

Thus, LCM of Fractions is 287754/13.Finally, LCM of Fractions for 723/260, 398/949 is 287754/13.