Least Common Multiple of 967/43, 731/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 967/43, 731/398 quickly i.e. 706877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/43, 731/398 is 706877.

LCM(967/43, 731/398) = 706877

LCM of 967/43, 731/398

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 967/43,731/398

Given numbers are 967/43,731/398

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 967,731

Least Common Multiple of Numerators i.e. LCM of 967,731 is 706877.

GCF of Denominators means GCF of 43,398 as per the given fractions.

GCF of 43,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,731

LCM of Fractions 967/43,731/398 is 706877

Given numbers has no common factors except 1. So, there LCM is their product i.e 706877

Least Common Multiple of 967,731 with GCF Formula

Least Common Multiple of 967,731 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 967,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,731) = 1

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

GCF(967,731) x common factors =1 x 1 = 1

LCM(967,731) = ( 967 × 731 ) / 1

LCM(967,731) = 706877 / 1

LCM(967,731) = 706877


Lets's calculate GCF of 43,398

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706877/1

Therefore the LCM of Fractions 967/43,731/398 is 706877

Greatest Common Factor of 43,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,398 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 43,398 . The biggest common factor number is the GCF number.
So the greatest common factor 43,398 is 1.


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 967/43, 731/398

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 967/43, 731/398?

Answer: LCM of Numerators as per given numbers 967/43, 731/398 is

LCM of Numerators i.e. for 967,731 is 706877

GCF of denominators i.e. for 43,398 is 1.

Thus, LCM of Fractions is 706877.Finally, LCM of Fractions for 967/43, 731/398 is 706877.