Least Common Multiple of 58/36, 57/80, 30/26, 51/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/36, 57/80, 30/26, 51/624 quickly i.e. 140505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/36, 57/80, 30/26, 51/624 is 140505.

LCM(58/36, 57/80, 30/26, 51/624) = 140505

LCM of 58/36, 57/80, 30/26, 51/624

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 58/36,57/80,30/26,51/624

Given numbers are 58/36,57/80,30/26,51/624

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 58,57,30,51

Least Common Multiple of Numerators i.e. LCM of 58,57,30,51 is 281010.

GCF of Denominators means GCF of 36,80,26,624 as per the given fractions.

GCF of 36,80,26,624 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,57,30,51

LCM of Fractions 58/36,57/80,30/26,51/624 is 140505

2 58, 57, 30, 51
3 29, 57, 15, 51
29, 19, 5, 17

∴ So the LCM of the given numbers is 2 x 3 x 29 x 19 x 5 x 17 = 281010

Least Common Multiple of 58,57,30,51 with GCF Formula

Least Common Multiple of 58,57,30,51 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 58,57,30,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,57,30,51) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(58,57,30,51) x common factors =1 x 18 = 18

LCM(58,57,30,51) = ( 58 × 57 × 30 × 51 ) / 18

LCM(58,57,30,51) = 5058180 / 18

LCM(58,57,30,51) = 281010


Lets's calculate GCF of 36,80,26,624

2 36, 80, 26, 624
18, 40, 13, 312

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281010/2

Therefore the LCM of Fractions 58/36,57/80,30/26,51/624 is 140505

Greatest Common Factor of 36,80,26,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,80,26,624 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 36,80,26,624 . The biggest common factor number is the GCF number.
So the greatest common factor 36,80,26,624 is 2.


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 58/36, 57/80, 30/26, 51/624

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 58/36, 57/80, 30/26, 51/624?

Answer: LCM of Numerators as per given numbers 58/36, 57/80, 30/26, 51/624 is

LCM of Numerators i.e. for 58,57,30,51 is 281010

GCF of denominators i.e. for 36,80,26,624 is 2.

Thus, LCM of Fractions is 140505.Finally, LCM of Fractions for 58/36, 57/80, 30/26, 51/624 is 140505.