Least Common Multiple of 33/853, 27/518, 416/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/853, 27/518, 416/735 quickly i.e. 123552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/853, 27/518, 416/735 is 123552.

LCM(33/853, 27/518, 416/735) = 123552

LCM of 33/853, 27/518, 416/735

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 33/853,27/518,416/735

Given numbers are 33/853,27/518,416/735

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 33,27,416

Least Common Multiple of Numerators i.e. LCM of 33,27,416 is 123552.

GCF of Denominators means GCF of 853,518,735 as per the given fractions.

GCF of 853,518,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,27,416

LCM of Fractions 33/853,27/518,416/735 is 123552

3 33, 27, 416
11, 9, 416

∴ So the LCM of the given numbers is 3 x 11 x 9 x 416 = 123552

Least Common Multiple of 33,27,416 with GCF Formula

Least Common Multiple of 33,27,416 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 33,27,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,27,416) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,27,416) x common factors =1 x 3 = 3

LCM(33,27,416) = ( 33 × 27 × 416 ) / 3

LCM(33,27,416) = 370656 / 3

LCM(33,27,416) = 123552


Lets's calculate GCF of 853,518,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123552/1

Therefore the LCM of Fractions 33/853,27/518,416/735 is 123552

Greatest Common Factor of 853,518,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,518,735 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

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

Greatest Common Factor

We found the factors 853,518,735 . The biggest common factor number is the GCF number.
So the greatest common factor 853,518,735 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 33/853, 27/518, 416/735

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 33/853, 27/518, 416/735?

Answer: LCM of Numerators as per given numbers 33/853, 27/518, 416/735 is

LCM of Numerators i.e. for 33,27,416 is 123552

GCF of denominators i.e. for 853,518,735 is 1.

Thus, LCM of Fractions is 123552.Finally, LCM of Fractions for 33/853, 27/518, 416/735 is 123552.