Least Common Multiple of 27/15, 42/83, 95/97, 95/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/15, 42/83, 95/97, 95/687 quickly i.e. 35910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/15, 42/83, 95/97, 95/687 is 35910.

LCM(27/15, 42/83, 95/97, 95/687) = 35910

LCM of 27/15, 42/83, 95/97, 95/687

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 27/15,42/83,95/97,95/687

Given numbers are 27/15,42/83,95/97,95/687

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 27,42,95,95

Least Common Multiple of Numerators i.e. LCM of 27,42,95,95 is 35910.

GCF of Denominators means GCF of 15,83,97,687 as per the given fractions.

GCF of 15,83,97,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,42,95,95

LCM of Fractions 27/15,42/83,95/97,95/687 is 35910

3 27, 42, 95, 95
5 9, 14, 95, 95
19 9, 14, 19, 19
9, 14, 1, 1

∴ So the LCM of the given numbers is 3 x 5 x 19 x 9 x 14 x 1 x 1 = 35910

Least Common Multiple of 27,42,95,95 with GCF Formula

Least Common Multiple of 27,42,95,95 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 27,42,95,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,42,95,95) = 1

common factors(in case of two or more numbers have common factors) = 285

GCF(27,42,95,95) x common factors =1 x 285 = 285

LCM(27,42,95,95) = ( 27 × 42 × 95 × 95 ) / 285

LCM(27,42,95,95) = 10234350 / 285

LCM(27,42,95,95) = 35910


Lets's calculate GCF of 15,83,97,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35910/1

Therefore the LCM of Fractions 27/15,42/83,95/97,95/687 is 35910

Greatest Common Factor of 15,83,97,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,83,97,687 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 97

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

1,97

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 15,83,97,687 . The biggest common factor number is the GCF number.
So the greatest common factor 15,83,97,687 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 27/15, 42/83, 95/97, 95/687

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 27/15, 42/83, 95/97, 95/687?

Answer: LCM of Numerators as per given numbers 27/15, 42/83, 95/97, 95/687 is

LCM of Numerators i.e. for 27,42,95,95 is 35910

GCF of denominators i.e. for 15,83,97,687 is 1.

Thus, LCM of Fractions is 35910.Finally, LCM of Fractions for 27/15, 42/83, 95/97, 95/687 is 35910.