Least Common Multiple of 47/713, 14/654, 786/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/713, 14/654, 786/634 quickly i.e. 258594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/713, 14/654, 786/634 is 258594.

LCM(47/713, 14/654, 786/634) = 258594

LCM of 47/713, 14/654, 786/634

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 47/713,14/654,786/634

Given numbers are 47/713,14/654,786/634

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 47,14,786

Least Common Multiple of Numerators i.e. LCM of 47,14,786 is 258594.

GCF of Denominators means GCF of 713,654,634 as per the given fractions.

GCF of 713,654,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,14,786

LCM of Fractions 47/713,14/654,786/634 is 258594

2 47, 14, 786
47, 7, 393

∴ So the LCM of the given numbers is 2 x 47 x 7 x 393 = 258594

Least Common Multiple of 47,14,786 with GCF Formula

Least Common Multiple of 47,14,786 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 47,14,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,14,786) = 1

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

GCF(47,14,786) x common factors =1 x 2 = 2

LCM(47,14,786) = ( 47 × 14 × 786 ) / 2

LCM(47,14,786) = 517188 / 2

LCM(47,14,786) = 258594


Lets's calculate GCF of 713,654,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258594/1

Therefore the LCM of Fractions 47/713,14/654,786/634 is 258594

Greatest Common Factor of 713,654,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,654,634 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 713,654,634 . The biggest common factor number is the GCF number.
So the greatest common factor 713,654,634 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 47/713, 14/654, 786/634

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 47/713, 14/654, 786/634?

Answer: LCM of Numerators as per given numbers 47/713, 14/654, 786/634 is

LCM of Numerators i.e. for 47,14,786 is 258594

GCF of denominators i.e. for 713,654,634 is 1.

Thus, LCM of Fractions is 258594.Finally, LCM of Fractions for 47/713, 14/654, 786/634 is 258594.