Least Common Multiple of 971/897, 425/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/897, 425/713 quickly i.e. 412675/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/897, 425/713 is 412675/23.

LCM(971/897, 425/713) = 412675/23

LCM of 971/897, 425/713

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 971/897,425/713

Given numbers are 971/897,425/713

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 971,425

Least Common Multiple of Numerators i.e. LCM of 971,425 is 412675.

GCF of Denominators means GCF of 897,713 as per the given fractions.

GCF of 897,713 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,425

LCM of Fractions 971/897,425/713 is 412675/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 412675

Least Common Multiple of 971,425 with GCF Formula

Least Common Multiple of 971,425 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 971,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,425) = 1

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

GCF(971,425) x common factors =1 x 1 = 1

LCM(971,425) = ( 971 × 425 ) / 1

LCM(971,425) = 412675 / 1

LCM(971,425) = 412675


Lets's calculate GCF of 897,713

23 897, 713
39, 31

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 412675/23

Therefore the LCM of Fractions 971/897,425/713 is 412675/23

Greatest Common Factor of 897,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,713 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 897,713 . The biggest common factor number is the GCF number.
So the greatest common factor 897,713 is 23.


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 971/897, 425/713

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 971/897, 425/713?

Answer: LCM of Numerators as per given numbers 971/897, 425/713 is

LCM of Numerators i.e. for 971,425 is 412675

GCF of denominators i.e. for 897,713 is 23.

Thus, LCM of Fractions is 412675/23.Finally, LCM of Fractions for 971/897, 425/713 is 412675/23.