Least Common Multiple of 97/340, 839/239, 286/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/340, 839/239, 286/997 quickly i.e. 23275538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/340, 839/239, 286/997 is 23275538.

LCM(97/340, 839/239, 286/997) = 23275538

LCM of 97/340, 839/239, 286/997

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 97/340,839/239,286/997

Given numbers are 97/340,839/239,286/997

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 97,839,286

Least Common Multiple of Numerators i.e. LCM of 97,839,286 is 23275538.

GCF of Denominators means GCF of 340,239,997 as per the given fractions.

GCF of 340,239,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,839,286

LCM of Fractions 97/340,839/239,286/997 is 23275538

Given numbers has no common factors except 1. So, there LCM is their product i.e 23275538

Least Common Multiple of 97,839,286 with GCF Formula

Least Common Multiple of 97,839,286 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 97,839,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,839,286) = 1

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

GCF(97,839,286) x common factors =1 x 1 = 1

LCM(97,839,286) = ( 97 × 839 × 286 ) / 1

LCM(97,839,286) = 23275538 / 1

LCM(97,839,286) = 23275538


Lets's calculate GCF of 340,239,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23275538/1

Therefore the LCM of Fractions 97/340,839/239,286/997 is 23275538

Greatest Common Factor of 340,239,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,239,997 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 340,239,997 . The biggest common factor number is the GCF number.
So the greatest common factor 340,239,997 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/340, 839/239, 286/997

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 97/340, 839/239, 286/997?

Answer: LCM of Numerators as per given numbers 97/340, 839/239, 286/997 is

LCM of Numerators i.e. for 97,839,286 is 23275538

GCF of denominators i.e. for 340,239,997 is 1.

Thus, LCM of Fractions is 23275538.Finally, LCM of Fractions for 97/340, 839/239, 286/997 is 23275538.