Least Common Multiple of 39/713, 293/919, 318/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/713, 293/919, 318/825 quickly i.e. 1211262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/713, 293/919, 318/825 is 1211262.

LCM(39/713, 293/919, 318/825) = 1211262

LCM of 39/713, 293/919, 318/825

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 39/713,293/919,318/825

Given numbers are 39/713,293/919,318/825

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 39,293,318

Least Common Multiple of Numerators i.e. LCM of 39,293,318 is 1211262.

GCF of Denominators means GCF of 713,919,825 as per the given fractions.

GCF of 713,919,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,293,318

LCM of Fractions 39/713,293/919,318/825 is 1211262

3 39, 293, 318
13, 293, 106

∴ So the LCM of the given numbers is 3 x 13 x 293 x 106 = 1211262

Least Common Multiple of 39,293,318 with GCF Formula

Least Common Multiple of 39,293,318 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 39,293,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,293,318) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,293,318) x common factors =1 x 3 = 3

LCM(39,293,318) = ( 39 × 293 × 318 ) / 3

LCM(39,293,318) = 3633786 / 3

LCM(39,293,318) = 1211262


Lets's calculate GCF of 713,919,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1211262/1

Therefore the LCM of Fractions 39/713,293/919,318/825 is 1211262

Greatest Common Factor of 713,919,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,919,825 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 919

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

1,919

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 713,919,825 . The biggest common factor number is the GCF number.
So the greatest common factor 713,919,825 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 39/713, 293/919, 318/825

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 39/713, 293/919, 318/825?

Answer: LCM of Numerators as per given numbers 39/713, 293/919, 318/825 is

LCM of Numerators i.e. for 39,293,318 is 1211262

GCF of denominators i.e. for 713,919,825 is 1.

Thus, LCM of Fractions is 1211262.Finally, LCM of Fractions for 39/713, 293/919, 318/825 is 1211262.