Least Common Multiple of 58/30, 567/44, 854/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/30, 567/44, 854/532 quickly i.e. 1003023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/30, 567/44, 854/532 is 1003023.

LCM(58/30, 567/44, 854/532) = 1003023

LCM of 58/30, 567/44, 854/532

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 58/30,567/44,854/532

Given numbers are 58/30,567/44,854/532

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 58,567,854

Least Common Multiple of Numerators i.e. LCM of 58,567,854 is 2006046.

GCF of Denominators means GCF of 30,44,532 as per the given fractions.

GCF of 30,44,532 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,567,854

LCM of Fractions 58/30,567/44,854/532 is 1003023

2 58, 567, 854
7 29, 567, 427
29, 81, 61

∴ So the LCM of the given numbers is 2 x 7 x 29 x 81 x 61 = 2006046

Least Common Multiple of 58,567,854 with GCF Formula

Least Common Multiple of 58,567,854 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 58,567,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,567,854) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(58,567,854) x common factors =1 x 14 = 14

LCM(58,567,854) = ( 58 × 567 × 854 ) / 14

LCM(58,567,854) = 28084644 / 14

LCM(58,567,854) = 2006046


Lets's calculate GCF of 30,44,532

2 30, 44, 532
15, 22, 266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2006046/2

Therefore the LCM of Fractions 58/30,567/44,854/532 is 1003023

Greatest Common Factor of 30,44,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,44,532 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 30,44,532 . The biggest common factor number is the GCF number.
So the greatest common factor 30,44,532 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 58/30, 567/44, 854/532

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 58/30, 567/44, 854/532?

Answer: LCM of Numerators as per given numbers 58/30, 567/44, 854/532 is

LCM of Numerators i.e. for 58,567,854 is 2006046

GCF of denominators i.e. for 30,44,532 is 2.

Thus, LCM of Fractions is 1003023.Finally, LCM of Fractions for 58/30, 567/44, 854/532 is 1003023.