Least Common Multiple of 78/82, 723/47, 346/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/82, 723/47, 346/919 quickly i.e. 3252054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/82, 723/47, 346/919 is 3252054.

LCM(78/82, 723/47, 346/919) = 3252054

LCM of 78/82, 723/47, 346/919

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 78/82,723/47,346/919

Given numbers are 78/82,723/47,346/919

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 78,723,346

Least Common Multiple of Numerators i.e. LCM of 78,723,346 is 3252054.

GCF of Denominators means GCF of 82,47,919 as per the given fractions.

GCF of 82,47,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,723,346

LCM of Fractions 78/82,723/47,346/919 is 3252054

2 78, 723, 346
3 39, 723, 173
13, 241, 173

∴ So the LCM of the given numbers is 2 x 3 x 13 x 241 x 173 = 3252054

Least Common Multiple of 78,723,346 with GCF Formula

Least Common Multiple of 78,723,346 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 78,723,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,723,346) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,723,346) x common factors =1 x 6 = 6

LCM(78,723,346) = ( 78 × 723 × 346 ) / 6

LCM(78,723,346) = 19512324 / 6

LCM(78,723,346) = 3252054


Lets's calculate GCF of 82,47,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3252054/1

Therefore the LCM of Fractions 78/82,723/47,346/919 is 3252054

Greatest Common Factor of 82,47,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,47,919 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 82,47,919 . The biggest common factor number is the GCF number.
So the greatest common factor 82,47,919 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 78/82, 723/47, 346/919

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 78/82, 723/47, 346/919?

Answer: LCM of Numerators as per given numbers 78/82, 723/47, 346/919 is

LCM of Numerators i.e. for 78,723,346 is 3252054

GCF of denominators i.e. for 82,47,919 is 1.

Thus, LCM of Fractions is 3252054.Finally, LCM of Fractions for 78/82, 723/47, 346/919 is 3252054.