Least Common Multiple of 33/639, 121/339, 869/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/639, 121/339, 869/251 quickly i.e. 28677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/639, 121/339, 869/251 is 28677.

LCM(33/639, 121/339, 869/251) = 28677

LCM of 33/639, 121/339, 869/251

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 33/639,121/339,869/251

Given numbers are 33/639,121/339,869/251

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 33,121,869

Least Common Multiple of Numerators i.e. LCM of 33,121,869 is 28677.

GCF of Denominators means GCF of 639,339,251 as per the given fractions.

GCF of 639,339,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,121,869

LCM of Fractions 33/639,121/339,869/251 is 28677

11 33, 121, 869
3, 11, 79

∴ So the LCM of the given numbers is 11 x 3 x 11 x 79 = 28677

Least Common Multiple of 33,121,869 with GCF Formula

Least Common Multiple of 33,121,869 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 33,121,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,121,869) = 11

common factors(in case of two or more numbers have common factors) = 11

GCF(33,121,869) x common factors =11 x 11 = 121

LCM(33,121,869) = ( 33 × 121 × 869 ) / 121

LCM(33,121,869) = 3469917 / 121

LCM(33,121,869) = 28677


Lets's calculate GCF of 639,339,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28677/1

Therefore the LCM of Fractions 33/639,121/339,869/251 is 28677

Greatest Common Factor of 639,339,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,339,251 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 639,339,251 . The biggest common factor number is the GCF number.
So the greatest common factor 639,339,251 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/639, 121/339, 869/251

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 33/639, 121/339, 869/251?

Answer: LCM of Numerators as per given numbers 33/639, 121/339, 869/251 is

LCM of Numerators i.e. for 33,121,869 is 28677

GCF of denominators i.e. for 639,339,251 is 1.

Thus, LCM of Fractions is 28677.Finally, LCM of Fractions for 33/639, 121/339, 869/251 is 28677.