Least Common Multiple of 825/33, 682/13, 889/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 825/33, 682/13, 889/609 quickly i.e. 45472350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/33, 682/13, 889/609 is 45472350.

LCM(825/33, 682/13, 889/609) = 45472350

LCM of 825/33, 682/13, 889/609

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 825/33,682/13,889/609

Given numbers are 825/33,682/13,889/609

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 825,682,889

Least Common Multiple of Numerators i.e. LCM of 825,682,889 is 45472350.

GCF of Denominators means GCF of 33,13,609 as per the given fractions.

GCF of 33,13,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,682,889

LCM of Fractions 825/33,682/13,889/609 is 45472350

11 825, 682, 889
75, 62, 889

∴ So the LCM of the given numbers is 11 x 75 x 62 x 889 = 45472350

Least Common Multiple of 825,682,889 with GCF Formula

Least Common Multiple of 825,682,889 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 825,682,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,682,889) = 1

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

GCF(825,682,889) x common factors =1 x 11 = 11

LCM(825,682,889) = ( 825 × 682 × 889 ) / 11

LCM(825,682,889) = 500195850 / 11

LCM(825,682,889) = 45472350


Lets's calculate GCF of 33,13,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45472350/1

Therefore the LCM of Fractions 825/33,682/13,889/609 is 45472350

Greatest Common Factor of 33,13,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,13,609 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 33,13,609 . The biggest common factor number is the GCF number.
So the greatest common factor 33,13,609 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 825/33, 682/13, 889/609

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 825/33, 682/13, 889/609?

Answer: LCM of Numerators as per given numbers 825/33, 682/13, 889/609 is

LCM of Numerators i.e. for 825,682,889 is 45472350

GCF of denominators i.e. for 33,13,609 is 1.

Thus, LCM of Fractions is 45472350.Finally, LCM of Fractions for 825/33, 682/13, 889/609 is 45472350.