Least Common Multiple of 319/31, 354/98, 369/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/31, 354/98, 369/711 quickly i.e. 13889898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/31, 354/98, 369/711 is 13889898.

LCM(319/31, 354/98, 369/711) = 13889898

LCM of 319/31, 354/98, 369/711

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 319/31,354/98,369/711

Given numbers are 319/31,354/98,369/711

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 319,354,369

Least Common Multiple of Numerators i.e. LCM of 319,354,369 is 13889898.

GCF of Denominators means GCF of 31,98,711 as per the given fractions.

GCF of 31,98,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,354,369

LCM of Fractions 319/31,354/98,369/711 is 13889898

3 319, 354, 369
319, 118, 123

∴ So the LCM of the given numbers is 3 x 319 x 118 x 123 = 13889898

Least Common Multiple of 319,354,369 with GCF Formula

Least Common Multiple of 319,354,369 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 319,354,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,354,369) = 1

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

GCF(319,354,369) x common factors =1 x 3 = 3

LCM(319,354,369) = ( 319 × 354 × 369 ) / 3

LCM(319,354,369) = 41669694 / 3

LCM(319,354,369) = 13889898


Lets's calculate GCF of 31,98,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13889898/1

Therefore the LCM of Fractions 319/31,354/98,369/711 is 13889898

Greatest Common Factor of 31,98,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,98,711 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 31,98,711 . The biggest common factor number is the GCF number.
So the greatest common factor 31,98,711 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 319/31, 354/98, 369/711

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 319/31, 354/98, 369/711?

Answer: LCM of Numerators as per given numbers 319/31, 354/98, 369/711 is

LCM of Numerators i.e. for 319,354,369 is 13889898

GCF of denominators i.e. for 31,98,711 is 1.

Thus, LCM of Fractions is 13889898.Finally, LCM of Fractions for 319/31, 354/98, 369/711 is 13889898.