Least Common Multiple of 34/351, 61/195, 458/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/351, 61/195, 458/687 quickly i.e. 474946/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/351, 61/195, 458/687 is 474946/3.

LCM(34/351, 61/195, 458/687) = 474946/3

LCM of 34/351, 61/195, 458/687

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 34/351,61/195,458/687

Given numbers are 34/351,61/195,458/687

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 34,61,458

Least Common Multiple of Numerators i.e. LCM of 34,61,458 is 474946.

GCF of Denominators means GCF of 351,195,687 as per the given fractions.

GCF of 351,195,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,61,458

LCM of Fractions 34/351,61/195,458/687 is 474946/3

2 34, 61, 458
17, 61, 229

∴ So the LCM of the given numbers is 2 x 17 x 61 x 229 = 474946

Least Common Multiple of 34,61,458 with GCF Formula

Least Common Multiple of 34,61,458 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 34,61,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,61,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,61,458) x common factors =1 x 2 = 2

LCM(34,61,458) = ( 34 × 61 × 458 ) / 2

LCM(34,61,458) = 949892 / 2

LCM(34,61,458) = 474946


Lets's calculate GCF of 351,195,687

3 351, 195, 687
117, 65, 229

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474946/3

Therefore the LCM of Fractions 34/351,61/195,458/687 is 474946/3

Greatest Common Factor of 351,195,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,195,687 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

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 351,195,687 . The biggest common factor number is the GCF number.
So the greatest common factor 351,195,687 is 3.


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 34/351, 61/195, 458/687

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 34/351, 61/195, 458/687?

Answer: LCM of Numerators as per given numbers 34/351, 61/195, 458/687 is

LCM of Numerators i.e. for 34,61,458 is 474946

GCF of denominators i.e. for 351,195,687 is 3.

Thus, LCM of Fractions is 474946/3.Finally, LCM of Fractions for 34/351, 61/195, 458/687 is 474946/3.