Least Common Multiple of 319/673, 912/701, 367/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/673, 912/701, 367/338 quickly i.e. 106770576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/673, 912/701, 367/338 is 106770576.

LCM(319/673, 912/701, 367/338) = 106770576

LCM of 319/673, 912/701, 367/338

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 319/673,912/701,367/338

Given numbers are 319/673,912/701,367/338

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 319,912,367

Least Common Multiple of Numerators i.e. LCM of 319,912,367 is 106770576.

GCF of Denominators means GCF of 673,701,338 as per the given fractions.

GCF of 673,701,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,912,367

LCM of Fractions 319/673,912/701,367/338 is 106770576

Given numbers has no common factors except 1. So, there LCM is their product i.e 106770576

Least Common Multiple of 319,912,367 with GCF Formula

Least Common Multiple of 319,912,367 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 319,912,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,912,367) = 1

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

GCF(319,912,367) x common factors =1 x 1 = 1

LCM(319,912,367) = ( 319 × 912 × 367 ) / 1

LCM(319,912,367) = 106770576 / 1

LCM(319,912,367) = 106770576


Lets's calculate GCF of 673,701,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106770576/1

Therefore the LCM of Fractions 319/673,912/701,367/338 is 106770576

Greatest Common Factor of 673,701,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,701,338 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 673,701,338 . The biggest common factor number is the GCF number.
So the greatest common factor 673,701,338 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 319/673, 912/701, 367/338

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 319/673, 912/701, 367/338?

Answer: LCM of Numerators as per given numbers 319/673, 912/701, 367/338 is

LCM of Numerators i.e. for 319,912,367 is 106770576

GCF of denominators i.e. for 673,701,338 is 1.

Thus, LCM of Fractions is 106770576.Finally, LCM of Fractions for 319/673, 912/701, 367/338 is 106770576.