Least Common Multiple of 319/76, 481/72, 693/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/76, 481/72, 693/355 quickly i.e. 9666657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/76, 481/72, 693/355 is 9666657.

LCM(319/76, 481/72, 693/355) = 9666657

LCM of 319/76, 481/72, 693/355

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 319/76,481/72,693/355

Given numbers are 319/76,481/72,693/355

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 319,481,693

Least Common Multiple of Numerators i.e. LCM of 319,481,693 is 9666657.

GCF of Denominators means GCF of 76,72,355 as per the given fractions.

GCF of 76,72,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,481,693

LCM of Fractions 319/76,481/72,693/355 is 9666657

11 319, 481, 693
29, 481, 63

∴ So the LCM of the given numbers is 11 x 29 x 481 x 63 = 9666657

Least Common Multiple of 319,481,693 with GCF Formula

Least Common Multiple of 319,481,693 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 319,481,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,481,693) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(319,481,693) x common factors =1 x 11 = 11

LCM(319,481,693) = ( 319 × 481 × 693 ) / 11

LCM(319,481,693) = 106333227 / 11

LCM(319,481,693) = 9666657


Lets's calculate GCF of 76,72,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9666657/1

Therefore the LCM of Fractions 319/76,481/72,693/355 is 9666657

Greatest Common Factor of 76,72,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,72,355 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 76,72,355 . The biggest common factor number is the GCF number.
So the greatest common factor 76,72,355 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 319/76, 481/72, 693/355

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 319/76, 481/72, 693/355?

Answer: LCM of Numerators as per given numbers 319/76, 481/72, 693/355 is

LCM of Numerators i.e. for 319,481,693 is 9666657

GCF of denominators i.e. for 76,72,355 is 1.

Thus, LCM of Fractions is 9666657.Finally, LCM of Fractions for 319/76, 481/72, 693/355 is 9666657.