Least Common Multiple of 178/34, 546/36, 599/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/34, 546/36, 599/21 quickly i.e. 29107806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/34, 546/36, 599/21 is 29107806.

LCM(178/34, 546/36, 599/21) = 29107806

LCM of 178/34, 546/36, 599/21

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 178/34,546/36,599/21

Given numbers are 178/34,546/36,599/21

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 178,546,599

Least Common Multiple of Numerators i.e. LCM of 178,546,599 is 29107806.

GCF of Denominators means GCF of 34,36,21 as per the given fractions.

GCF of 34,36,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,546,599

LCM of Fractions 178/34,546/36,599/21 is 29107806

2 178, 546, 599
89, 273, 599

∴ So the LCM of the given numbers is 2 x 89 x 273 x 599 = 29107806

Least Common Multiple of 178,546,599 with GCF Formula

Least Common Multiple of 178,546,599 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 178,546,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,546,599) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(178,546,599) x common factors =1 x 2 = 2

LCM(178,546,599) = ( 178 × 546 × 599 ) / 2

LCM(178,546,599) = 58215612 / 2

LCM(178,546,599) = 29107806


Lets's calculate GCF of 34,36,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29107806/1

Therefore the LCM of Fractions 178/34,546/36,599/21 is 29107806

Greatest Common Factor of 34,36,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,36,21 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 34,36,21 . The biggest common factor number is the GCF number.
So the greatest common factor 34,36,21 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 178/34, 546/36, 599/21

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 178/34, 546/36, 599/21?

Answer: LCM of Numerators as per given numbers 178/34, 546/36, 599/21 is

LCM of Numerators i.e. for 178,546,599 is 29107806

GCF of denominators i.e. for 34,36,21 is 1.

Thus, LCM of Fractions is 29107806.Finally, LCM of Fractions for 178/34, 546/36, 599/21 is 29107806.