Least Common Multiple of 37/59, 40/39, 42/83, 51/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/59, 40/39, 42/83, 51/179 quickly i.e. 528360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/59, 40/39, 42/83, 51/179 is 528360.

LCM(37/59, 40/39, 42/83, 51/179) = 528360

LCM of 37/59, 40/39, 42/83, 51/179

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 37/59,40/39,42/83,51/179

Given numbers are 37/59,40/39,42/83,51/179

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 37,40,42,51

Least Common Multiple of Numerators i.e. LCM of 37,40,42,51 is 528360.

GCF of Denominators means GCF of 59,39,83,179 as per the given fractions.

GCF of 59,39,83,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,40,42,51

LCM of Fractions 37/59,40/39,42/83,51/179 is 528360

2 37, 40, 42, 51
3 37, 20, 21, 51
37, 20, 7, 17

∴ So the LCM of the given numbers is 2 x 3 x 37 x 20 x 7 x 17 = 528360

Least Common Multiple of 37,40,42,51 with GCF Formula

Least Common Multiple of 37,40,42,51 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 37,40,42,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,40,42,51) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(37,40,42,51) x common factors =1 x 6 = 6

LCM(37,40,42,51) = ( 37 × 40 × 42 × 51 ) / 6

LCM(37,40,42,51) = 3170160 / 6

LCM(37,40,42,51) = 528360


Lets's calculate GCF of 59,39,83,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528360/1

Therefore the LCM of Fractions 37/59,40/39,42/83,51/179 is 528360

Greatest Common Factor of 59,39,83,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,39,83,179 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 83

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

1,83

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 59,39,83,179 . The biggest common factor number is the GCF number.
So the greatest common factor 59,39,83,179 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 37/59, 40/39, 42/83, 51/179

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 37/59, 40/39, 42/83, 51/179?

Answer: LCM of Numerators as per given numbers 37/59, 40/39, 42/83, 51/179 is

LCM of Numerators i.e. for 37,40,42,51 is 528360

GCF of denominators i.e. for 59,39,83,179 is 1.

Thus, LCM of Fractions is 528360.Finally, LCM of Fractions for 37/59, 40/39, 42/83, 51/179 is 528360.