Least Common Multiple of 30/735, 221/53, 174/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/735, 221/53, 174/836 quickly i.e. 192270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/735, 221/53, 174/836 is 192270.

LCM(30/735, 221/53, 174/836) = 192270

LCM of 30/735, 221/53, 174/836

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 30/735,221/53,174/836

Given numbers are 30/735,221/53,174/836

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 30,221,174

Least Common Multiple of Numerators i.e. LCM of 30,221,174 is 192270.

GCF of Denominators means GCF of 735,53,836 as per the given fractions.

GCF of 735,53,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,221,174

LCM of Fractions 30/735,221/53,174/836 is 192270

2 30, 221, 174
3 15, 221, 87
5, 221, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 221 x 29 = 192270

Least Common Multiple of 30,221,174 with GCF Formula

Least Common Multiple of 30,221,174 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 30,221,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,221,174) = 1

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

GCF(30,221,174) x common factors =1 x 6 = 6

LCM(30,221,174) = ( 30 × 221 × 174 ) / 6

LCM(30,221,174) = 1153620 / 6

LCM(30,221,174) = 192270


Lets's calculate GCF of 735,53,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192270/1

Therefore the LCM of Fractions 30/735,221/53,174/836 is 192270

Greatest Common Factor of 735,53,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,53,836 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 735,53,836 . The biggest common factor number is the GCF number.
So the greatest common factor 735,53,836 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 30/735, 221/53, 174/836

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 30/735, 221/53, 174/836?

Answer: LCM of Numerators as per given numbers 30/735, 221/53, 174/836 is

LCM of Numerators i.e. for 30,221,174 is 192270

GCF of denominators i.e. for 735,53,836 is 1.

Thus, LCM of Fractions is 192270.Finally, LCM of Fractions for 30/735, 221/53, 174/836 is 192270.