Least Common Multiple of 827/673, 496/531, 698/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/673, 496/531, 698/805 quickly i.e. 143157008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/673, 496/531, 698/805 is 143157008.

LCM(827/673, 496/531, 698/805) = 143157008

LCM of 827/673, 496/531, 698/805

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 827/673,496/531,698/805

Given numbers are 827/673,496/531,698/805

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 827,496,698

Least Common Multiple of Numerators i.e. LCM of 827,496,698 is 143157008.

GCF of Denominators means GCF of 673,531,805 as per the given fractions.

GCF of 673,531,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,496,698

LCM of Fractions 827/673,496/531,698/805 is 143157008

2 827, 496, 698
827, 248, 349

∴ So the LCM of the given numbers is 2 x 827 x 248 x 349 = 143157008

Least Common Multiple of 827,496,698 with GCF Formula

Least Common Multiple of 827,496,698 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 827,496,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,496,698) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(827,496,698) x common factors =1 x 2 = 2

LCM(827,496,698) = ( 827 × 496 × 698 ) / 2

LCM(827,496,698) = 286314016 / 2

LCM(827,496,698) = 143157008


Lets's calculate GCF of 673,531,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143157008/1

Therefore the LCM of Fractions 827/673,496/531,698/805 is 143157008

Greatest Common Factor of 673,531,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,531,805 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 673,531,805 . The biggest common factor number is the GCF number.
So the greatest common factor 673,531,805 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 827/673, 496/531, 698/805

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 827/673, 496/531, 698/805?

Answer: LCM of Numerators as per given numbers 827/673, 496/531, 698/805 is

LCM of Numerators i.e. for 827,496,698 is 143157008

GCF of denominators i.e. for 673,531,805 is 1.

Thus, LCM of Fractions is 143157008.Finally, LCM of Fractions for 827/673, 496/531, 698/805 is 143157008.