Least Common Multiple of 18/31, 90/40, 34/59, 36/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/31, 90/40, 34/59, 36/986 quickly i.e. 3060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/31, 90/40, 34/59, 36/986 is 3060.

LCM(18/31, 90/40, 34/59, 36/986) = 3060

LCM of 18/31, 90/40, 34/59, 36/986

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 18/31,90/40,34/59,36/986

Given numbers are 18/31,90/40,34/59,36/986

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 18,90,34,36

Least Common Multiple of Numerators i.e. LCM of 18,90,34,36 is 3060.

GCF of Denominators means GCF of 31,40,59,986 as per the given fractions.

GCF of 31,40,59,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,90,34,36

LCM of Fractions 18/31,90/40,34/59,36/986 is 3060

2 18, 90, 34, 36
3 9, 45, 17, 18
3 3, 15, 17, 6
1, 5, 17, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 5 x 17 x 2 = 3060

Least Common Multiple of 18,90,34,36 with GCF Formula

Least Common Multiple of 18,90,34,36 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 18,90,34,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,90,34,36) = 2

common factors(in case of two or more numbers have common factors) = 324

GCF(18,90,34,36) x common factors =2 x 324 = 648

LCM(18,90,34,36) = ( 18 × 90 × 34 × 36 ) / 648

LCM(18,90,34,36) = 1982880 / 648

LCM(18,90,34,36) = 3060


Lets's calculate GCF of 31,40,59,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3060/1

Therefore the LCM of Fractions 18/31,90/40,34/59,36/986 is 3060

Greatest Common Factor of 31,40,59,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,40,59,986 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 59

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

1,59

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 31,40,59,986 . The biggest common factor number is the GCF number.
So the greatest common factor 31,40,59,986 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 18/31, 90/40, 34/59, 36/986

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 18/31, 90/40, 34/59, 36/986?

Answer: LCM of Numerators as per given numbers 18/31, 90/40, 34/59, 36/986 is

LCM of Numerators i.e. for 18,90,34,36 is 3060

GCF of denominators i.e. for 31,40,59,986 is 1.

Thus, LCM of Fractions is 3060.Finally, LCM of Fractions for 18/31, 90/40, 34/59, 36/986 is 3060.