Least Common Multiple of 805/768, 563/444, 357/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/768, 563/444, 357/474 quickly i.e. 23113965/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/768, 563/444, 357/474 is 23113965/6.

LCM(805/768, 563/444, 357/474) = 23113965/6

LCM of 805/768, 563/444, 357/474

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 805/768,563/444,357/474

Given numbers are 805/768,563/444,357/474

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 805,563,357

Least Common Multiple of Numerators i.e. LCM of 805,563,357 is 23113965.

GCF of Denominators means GCF of 768,444,474 as per the given fractions.

GCF of 768,444,474 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,563,357

LCM of Fractions 805/768,563/444,357/474 is 23113965/6

7 805, 563, 357
115, 563, 51

∴ So the LCM of the given numbers is 7 x 115 x 563 x 51 = 23113965

Least Common Multiple of 805,563,357 with GCF Formula

Least Common Multiple of 805,563,357 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 805,563,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,563,357) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(805,563,357) x common factors =1 x 7 = 7

LCM(805,563,357) = ( 805 × 563 × 357 ) / 7

LCM(805,563,357) = 161797755 / 7

LCM(805,563,357) = 23113965


Lets's calculate GCF of 768,444,474

2 768, 444, 474
3 384, 222, 237
128, 74, 79

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23113965/6

Therefore the LCM of Fractions 805/768,563/444,357/474 is 23113965/6

Greatest Common Factor of 768,444,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,444,474 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 768,444,474 . The biggest common factor number is the GCF number.
So the greatest common factor 768,444,474 is 6.


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 805/768, 563/444, 357/474

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 805/768, 563/444, 357/474?

Answer: LCM of Numerators as per given numbers 805/768, 563/444, 357/474 is

LCM of Numerators i.e. for 805,563,357 is 23113965

GCF of denominators i.e. for 768,444,474 is 6.

Thus, LCM of Fractions is 23113965/6.Finally, LCM of Fractions for 805/768, 563/444, 357/474 is 23113965/6.