Least Common Multiple of 35/59, 75/13, 35/13, 31/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/59, 75/13, 35/13, 31/987 quickly i.e. 16275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/59, 75/13, 35/13, 31/987 is 16275.

LCM(35/59, 75/13, 35/13, 31/987) = 16275

LCM of 35/59, 75/13, 35/13, 31/987

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 35/59,75/13,35/13,31/987

Given numbers are 35/59,75/13,35/13,31/987

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 35,75,35,31

Least Common Multiple of Numerators i.e. LCM of 35,75,35,31 is 16275.

GCF of Denominators means GCF of 59,13,13,987 as per the given fractions.

GCF of 59,13,13,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,75,35,31

LCM of Fractions 35/59,75/13,35/13,31/987 is 16275

5 35, 75, 35, 31
7 7, 15, 7, 31
1, 15, 1, 31

∴ So the LCM of the given numbers is 5 x 7 x 1 x 15 x 1 x 31 = 16275

Least Common Multiple of 35,75,35,31 with GCF Formula

Least Common Multiple of 35,75,35,31 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 35,75,35,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,75,35,31) = 1

common factors(in case of two or more numbers have common factors) = 175

GCF(35,75,35,31) x common factors =1 x 175 = 175

LCM(35,75,35,31) = ( 35 × 75 × 35 × 31 ) / 175

LCM(35,75,35,31) = 2848125 / 175

LCM(35,75,35,31) = 16275


Lets's calculate GCF of 59,13,13,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16275/1

Therefore the LCM of Fractions 35/59,75/13,35/13,31/987 is 16275

Greatest Common Factor of 59,13,13,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,13,13,987 By Matching Biggest Common Factor Method

Factors of 59

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

1,59

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 59,13,13,987 . The biggest common factor number is the GCF number.
So the greatest common factor 59,13,13,987 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 35/59, 75/13, 35/13, 31/987

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 35/59, 75/13, 35/13, 31/987?

Answer: LCM of Numerators as per given numbers 35/59, 75/13, 35/13, 31/987 is

LCM of Numerators i.e. for 35,75,35,31 is 16275

GCF of denominators i.e. for 59,13,13,987 is 1.

Thus, LCM of Fractions is 16275.Finally, LCM of Fractions for 35/59, 75/13, 35/13, 31/987 is 16275.