Least Common Multiple of 79/319, 69/812, 679/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/319, 69/812, 679/328 quickly i.e. 3701229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/319, 69/812, 679/328 is 3701229.

LCM(79/319, 69/812, 679/328) = 3701229

LCM of 79/319, 69/812, 679/328

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 79/319,69/812,679/328

Given numbers are 79/319,69/812,679/328

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 79,69,679

Least Common Multiple of Numerators i.e. LCM of 79,69,679 is 3701229.

GCF of Denominators means GCF of 319,812,328 as per the given fractions.

GCF of 319,812,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,69,679

LCM of Fractions 79/319,69/812,679/328 is 3701229

Given numbers has no common factors except 1. So, there LCM is their product i.e 3701229

Least Common Multiple of 79,69,679 with GCF Formula

Least Common Multiple of 79,69,679 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 79,69,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,69,679) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,69,679) x common factors =1 x 1 = 1

LCM(79,69,679) = ( 79 × 69 × 679 ) / 1

LCM(79,69,679) = 3701229 / 1

LCM(79,69,679) = 3701229


Lets's calculate GCF of 319,812,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3701229/1

Therefore the LCM of Fractions 79/319,69/812,679/328 is 3701229

Greatest Common Factor of 319,812,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,812,328 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 319,812,328 . The biggest common factor number is the GCF number.
So the greatest common factor 319,812,328 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 79/319, 69/812, 679/328

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 79/319, 69/812, 679/328?

Answer: LCM of Numerators as per given numbers 79/319, 69/812, 679/328 is

LCM of Numerators i.e. for 79,69,679 is 3701229

GCF of denominators i.e. for 319,812,328 is 1.

Thus, LCM of Fractions is 3701229.Finally, LCM of Fractions for 79/319, 69/812, 679/328 is 3701229.