Least Common Multiple of 97/806, 347/849, 228/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/806, 347/849, 228/687 quickly i.e. 7674252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/806, 347/849, 228/687 is 7674252.

LCM(97/806, 347/849, 228/687) = 7674252

LCM of 97/806, 347/849, 228/687

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 97/806,347/849,228/687

Given numbers are 97/806,347/849,228/687

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 97,347,228

Least Common Multiple of Numerators i.e. LCM of 97,347,228 is 7674252.

GCF of Denominators means GCF of 806,849,687 as per the given fractions.

GCF of 806,849,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,347,228

LCM of Fractions 97/806,347/849,228/687 is 7674252

Given numbers has no common factors except 1. So, there LCM is their product i.e 7674252

Least Common Multiple of 97,347,228 with GCF Formula

Least Common Multiple of 97,347,228 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 97,347,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,347,228) = 1

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

GCF(97,347,228) x common factors =1 x 1 = 1

LCM(97,347,228) = ( 97 × 347 × 228 ) / 1

LCM(97,347,228) = 7674252 / 1

LCM(97,347,228) = 7674252


Lets's calculate GCF of 806,849,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7674252/1

Therefore the LCM of Fractions 97/806,347/849,228/687 is 7674252

Greatest Common Factor of 806,849,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,849,687 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 806,849,687 . The biggest common factor number is the GCF number.
So the greatest common factor 806,849,687 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/806, 347/849, 228/687

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 97/806, 347/849, 228/687?

Answer: LCM of Numerators as per given numbers 97/806, 347/849, 228/687 is

LCM of Numerators i.e. for 97,347,228 is 7674252

GCF of denominators i.e. for 806,849,687 is 1.

Thus, LCM of Fractions is 7674252.Finally, LCM of Fractions for 97/806, 347/849, 228/687 is 7674252.