Least Common Multiple of 31/35, 34/59, 62/27, 14/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/35, 34/59, 62/27, 14/102 quickly i.e. 7378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/35, 34/59, 62/27, 14/102 is 7378.

LCM(31/35, 34/59, 62/27, 14/102) = 7378

LCM of 31/35, 34/59, 62/27, 14/102

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 31/35,34/59,62/27,14/102

Given numbers are 31/35,34/59,62/27,14/102

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 31,34,62,14

Least Common Multiple of Numerators i.e. LCM of 31,34,62,14 is 7378.

GCF of Denominators means GCF of 35,59,27,102 as per the given fractions.

GCF of 35,59,27,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,34,62,14

LCM of Fractions 31/35,34/59,62/27,14/102 is 7378

2 31, 34, 62, 14
31 31, 17, 31, 7
1, 17, 1, 7

∴ So the LCM of the given numbers is 2 x 31 x 1 x 17 x 1 x 7 = 7378

Least Common Multiple of 31,34,62,14 with GCF Formula

Least Common Multiple of 31,34,62,14 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 31,34,62,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,34,62,14) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(31,34,62,14) x common factors =1 x 124 = 124

LCM(31,34,62,14) = ( 31 × 34 × 62 × 14 ) / 124

LCM(31,34,62,14) = 914872 / 124

LCM(31,34,62,14) = 7378


Lets's calculate GCF of 35,59,27,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7378/1

Therefore the LCM of Fractions 31/35,34/59,62/27,14/102 is 7378

Greatest Common Factor of 35,59,27,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,59,27,102 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 35,59,27,102 . The biggest common factor number is the GCF number.
So the greatest common factor 35,59,27,102 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 31/35, 34/59, 62/27, 14/102

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 31/35, 34/59, 62/27, 14/102?

Answer: LCM of Numerators as per given numbers 31/35, 34/59, 62/27, 14/102 is

LCM of Numerators i.e. for 31,34,62,14 is 7378

GCF of denominators i.e. for 35,59,27,102 is 1.

Thus, LCM of Fractions is 7378.Finally, LCM of Fractions for 31/35, 34/59, 62/27, 14/102 is 7378.