Least Common Multiple of 679/33, 456/31, 897/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/33, 456/31, 897/817 quickly i.e. 92577576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/33, 456/31, 897/817 is 92577576.

LCM(679/33, 456/31, 897/817) = 92577576

LCM of 679/33, 456/31, 897/817

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 679/33,456/31,897/817

Given numbers are 679/33,456/31,897/817

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 679,456,897

Least Common Multiple of Numerators i.e. LCM of 679,456,897 is 92577576.

GCF of Denominators means GCF of 33,31,817 as per the given fractions.

GCF of 33,31,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,456,897

LCM of Fractions 679/33,456/31,897/817 is 92577576

3 679, 456, 897
679, 152, 299

∴ So the LCM of the given numbers is 3 x 679 x 152 x 299 = 92577576

Least Common Multiple of 679,456,897 with GCF Formula

Least Common Multiple of 679,456,897 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 679,456,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,456,897) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(679,456,897) x common factors =1 x 3 = 3

LCM(679,456,897) = ( 679 × 456 × 897 ) / 3

LCM(679,456,897) = 277732728 / 3

LCM(679,456,897) = 92577576


Lets's calculate GCF of 33,31,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92577576/1

Therefore the LCM of Fractions 679/33,456/31,897/817 is 92577576

Greatest Common Factor of 33,31,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,31,817 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 33,31,817 . The biggest common factor number is the GCF number.
So the greatest common factor 33,31,817 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 679/33, 456/31, 897/817

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 679/33, 456/31, 897/817?

Answer: LCM of Numerators as per given numbers 679/33, 456/31, 897/817 is

LCM of Numerators i.e. for 679,456,897 is 92577576

GCF of denominators i.e. for 33,31,817 is 1.

Thus, LCM of Fractions is 92577576.Finally, LCM of Fractions for 679/33, 456/31, 897/817 is 92577576.