Least Common Multiple of 807/564, 825/305, 799/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 807/564, 825/305, 799/612 quickly i.e. 177318075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/564, 825/305, 799/612 is 177318075.

LCM(807/564, 825/305, 799/612) = 177318075

LCM of 807/564, 825/305, 799/612

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 807/564,825/305,799/612

Given numbers are 807/564,825/305,799/612

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 807,825,799

Least Common Multiple of Numerators i.e. LCM of 807,825,799 is 177318075.

GCF of Denominators means GCF of 564,305,612 as per the given fractions.

GCF of 564,305,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,825,799

LCM of Fractions 807/564,825/305,799/612 is 177318075

3 807, 825, 799
269, 275, 799

∴ So the LCM of the given numbers is 3 x 269 x 275 x 799 = 177318075

Least Common Multiple of 807,825,799 with GCF Formula

Least Common Multiple of 807,825,799 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 807,825,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,825,799) = 1

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

GCF(807,825,799) x common factors =1 x 3 = 3

LCM(807,825,799) = ( 807 × 825 × 799 ) / 3

LCM(807,825,799) = 531954225 / 3

LCM(807,825,799) = 177318075


Lets's calculate GCF of 564,305,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177318075/1

Therefore the LCM of Fractions 807/564,825/305,799/612 is 177318075

Greatest Common Factor of 564,305,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,305,612 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 564,305,612 . The biggest common factor number is the GCF number.
So the greatest common factor 564,305,612 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 807/564, 825/305, 799/612

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 807/564, 825/305, 799/612?

Answer: LCM of Numerators as per given numbers 807/564, 825/305, 799/612 is

LCM of Numerators i.e. for 807,825,799 is 177318075

GCF of denominators i.e. for 564,305,612 is 1.

Thus, LCM of Fractions is 177318075.Finally, LCM of Fractions for 807/564, 825/305, 799/612 is 177318075.