Least Common Multiple of 679/82, 152/41, 231/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/82, 152/41, 231/146 quickly i.e. 3405864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/82, 152/41, 231/146 is 3405864.

LCM(679/82, 152/41, 231/146) = 3405864

LCM of 679/82, 152/41, 231/146

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 679/82,152/41,231/146

Given numbers are 679/82,152/41,231/146

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 679,152,231

Least Common Multiple of Numerators i.e. LCM of 679,152,231 is 3405864.

GCF of Denominators means GCF of 82,41,146 as per the given fractions.

GCF of 82,41,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,152,231

LCM of Fractions 679/82,152/41,231/146 is 3405864

7 679, 152, 231
97, 152, 33

∴ So the LCM of the given numbers is 7 x 97 x 152 x 33 = 3405864

Least Common Multiple of 679,152,231 with GCF Formula

Least Common Multiple of 679,152,231 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 679,152,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,152,231) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(679,152,231) x common factors =1 x 7 = 7

LCM(679,152,231) = ( 679 × 152 × 231 ) / 7

LCM(679,152,231) = 23841048 / 7

LCM(679,152,231) = 3405864


Lets's calculate GCF of 82,41,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3405864/1

Therefore the LCM of Fractions 679/82,152/41,231/146 is 3405864

Greatest Common Factor of 82,41,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,41,146 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 82,41,146 . The biggest common factor number is the GCF number.
So the greatest common factor 82,41,146 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 679/82, 152/41, 231/146

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 679/82, 152/41, 231/146?

Answer: LCM of Numerators as per given numbers 679/82, 152/41, 231/146 is

LCM of Numerators i.e. for 679,152,231 is 3405864

GCF of denominators i.e. for 82,41,146 is 1.

Thus, LCM of Fractions is 3405864.Finally, LCM of Fractions for 679/82, 152/41, 231/146 is 3405864.