Least Common Multiple of 817/84, 712/97, 748/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/84, 712/97, 748/289 quickly i.e. 108778648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/84, 712/97, 748/289 is 108778648.

LCM(817/84, 712/97, 748/289) = 108778648

LCM of 817/84, 712/97, 748/289

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 817/84,712/97,748/289

Given numbers are 817/84,712/97,748/289

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 817,712,748

Least Common Multiple of Numerators i.e. LCM of 817,712,748 is 108778648.

GCF of Denominators means GCF of 84,97,289 as per the given fractions.

GCF of 84,97,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,712,748

LCM of Fractions 817/84,712/97,748/289 is 108778648

2 817, 712, 748
2 817, 356, 374
817, 178, 187

∴ So the LCM of the given numbers is 2 x 2 x 817 x 178 x 187 = 108778648

Least Common Multiple of 817,712,748 with GCF Formula

Least Common Multiple of 817,712,748 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 817,712,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,712,748) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(817,712,748) x common factors =1 x 4 = 4

LCM(817,712,748) = ( 817 × 712 × 748 ) / 4

LCM(817,712,748) = 435114592 / 4

LCM(817,712,748) = 108778648


Lets's calculate GCF of 84,97,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108778648/1

Therefore the LCM of Fractions 817/84,712/97,748/289 is 108778648

Greatest Common Factor of 84,97,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,97,289 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 84,97,289 . The biggest common factor number is the GCF number.
So the greatest common factor 84,97,289 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 817/84, 712/97, 748/289

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 817/84, 712/97, 748/289?

Answer: LCM of Numerators as per given numbers 817/84, 712/97, 748/289 is

LCM of Numerators i.e. for 817,712,748 is 108778648

GCF of denominators i.e. for 84,97,289 is 1.

Thus, LCM of Fractions is 108778648.Finally, LCM of Fractions for 817/84, 712/97, 748/289 is 108778648.