Least Common Multiple of 33/397, 99/244, 857/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/397, 99/244, 857/216 quickly i.e. 84843 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/397, 99/244, 857/216 is 84843.

LCM(33/397, 99/244, 857/216) = 84843

LCM of 33/397, 99/244, 857/216

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 33/397,99/244,857/216

Given numbers are 33/397,99/244,857/216

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 33,99,857

Least Common Multiple of Numerators i.e. LCM of 33,99,857 is 84843.

GCF of Denominators means GCF of 397,244,216 as per the given fractions.

GCF of 397,244,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,99,857

LCM of Fractions 33/397,99/244,857/216 is 84843

3 33, 99, 857
11 11, 33, 857
1, 3, 857

∴ So the LCM of the given numbers is 3 x 11 x 1 x 3 x 857 = 84843

Least Common Multiple of 33,99,857 with GCF Formula

Least Common Multiple of 33,99,857 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 33,99,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,99,857) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,99,857) x common factors =1 x 33 = 33

LCM(33,99,857) = ( 33 × 99 × 857 ) / 33

LCM(33,99,857) = 2799819 / 33

LCM(33,99,857) = 84843


Lets's calculate GCF of 397,244,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84843/1

Therefore the LCM of Fractions 33/397,99/244,857/216 is 84843

Greatest Common Factor of 397,244,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,244,216 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 397,244,216 . The biggest common factor number is the GCF number.
So the greatest common factor 397,244,216 is 1.


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Frequently Asked Questions on Fractional LCM of 33/397, 99/244, 857/216

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 33/397, 99/244, 857/216?

Answer: LCM of Numerators as per given numbers 33/397, 99/244, 857/216 is

LCM of Numerators i.e. for 33,99,857 is 84843

GCF of denominators i.e. for 397,244,216 is 1.

Thus, LCM of Fractions is 84843.Finally, LCM of Fractions for 33/397, 99/244, 857/216 is 84843.