Least Common Multiple of 38/769, 47/563, 694/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/769, 47/563, 694/891 quickly i.e. 619742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/769, 47/563, 694/891 is 619742.

LCM(38/769, 47/563, 694/891) = 619742

LCM of 38/769, 47/563, 694/891

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 38/769,47/563,694/891

Given numbers are 38/769,47/563,694/891

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 38,47,694

Least Common Multiple of Numerators i.e. LCM of 38,47,694 is 619742.

GCF of Denominators means GCF of 769,563,891 as per the given fractions.

GCF of 769,563,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,47,694

LCM of Fractions 38/769,47/563,694/891 is 619742

2 38, 47, 694
19, 47, 347

∴ So the LCM of the given numbers is 2 x 19 x 47 x 347 = 619742

Least Common Multiple of 38,47,694 with GCF Formula

Least Common Multiple of 38,47,694 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 38,47,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,47,694) = 1

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

GCF(38,47,694) x common factors =1 x 2 = 2

LCM(38,47,694) = ( 38 × 47 × 694 ) / 2

LCM(38,47,694) = 1239484 / 2

LCM(38,47,694) = 619742


Lets's calculate GCF of 769,563,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619742/1

Therefore the LCM of Fractions 38/769,47/563,694/891 is 619742

Greatest Common Factor of 769,563,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,563,891 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 769,563,891 . The biggest common factor number is the GCF number.
So the greatest common factor 769,563,891 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 38/769, 47/563, 694/891

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 38/769, 47/563, 694/891?

Answer: LCM of Numerators as per given numbers 38/769, 47/563, 694/891 is

LCM of Numerators i.e. for 38,47,694 is 619742

GCF of denominators i.e. for 769,563,891 is 1.

Thus, LCM of Fractions is 619742.Finally, LCM of Fractions for 38/769, 47/563, 694/891 is 619742.