Least Common Multiple of 325/807, 559/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 325/807, 559/966 quickly i.e. 13975/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 325/807, 559/966 is 13975/3.

LCM(325/807, 559/966) = 13975/3

LCM of 325/807, 559/966

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 325/807,559/966

Given numbers are 325/807,559/966

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 325,559

Least Common Multiple of Numerators i.e. LCM of 325,559 is 13975.

GCF of Denominators means GCF of 807,966 as per the given fractions.

GCF of 807,966 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 325,559

LCM of Fractions 325/807,559/966 is 13975/3

13 325, 559
25, 43

∴ So the LCM of the given numbers is 13 x 25 x 43 = 13975

Least Common Multiple of 325,559 with GCF Formula

Least Common Multiple of 325,559 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 325,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,559) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(325,559) x common factors =13 x 1 = 13

LCM(325,559) = ( 325 × 559 ) / 13

LCM(325,559) = 181675 / 13

LCM(325,559) = 13975


Lets's calculate GCF of 807,966

3 807, 966
269, 322

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13975/3

Therefore the LCM of Fractions 325/807,559/966 is 13975/3

Greatest Common Factor of 807,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,966 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 807,966 . The biggest common factor number is the GCF number.
So the greatest common factor 807,966 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 325/807, 559/966

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 325/807, 559/966?

Answer: LCM of Numerators as per given numbers 325/807, 559/966 is

LCM of Numerators i.e. for 325,559 is 13975

GCF of denominators i.e. for 807,966 is 3.

Thus, LCM of Fractions is 13975/3.Finally, LCM of Fractions for 325/807, 559/966 is 13975/3.