Least Common Multiple of 319/268, 595/519, 381/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/268, 595/519, 381/606 quickly i.e. 72315705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/268, 595/519, 381/606 is 72315705.

LCM(319/268, 595/519, 381/606) = 72315705

LCM of 319/268, 595/519, 381/606

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 319/268,595/519,381/606

Given numbers are 319/268,595/519,381/606

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 319,595,381

Least Common Multiple of Numerators i.e. LCM of 319,595,381 is 72315705.

GCF of Denominators means GCF of 268,519,606 as per the given fractions.

GCF of 268,519,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,595,381

LCM of Fractions 319/268,595/519,381/606 is 72315705

Given numbers has no common factors except 1. So, there LCM is their product i.e 72315705

Least Common Multiple of 319,595,381 with GCF Formula

Least Common Multiple of 319,595,381 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 319,595,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,595,381) = 1

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

GCF(319,595,381) x common factors =1 x 1 = 1

LCM(319,595,381) = ( 319 × 595 × 381 ) / 1

LCM(319,595,381) = 72315705 / 1

LCM(319,595,381) = 72315705


Lets's calculate GCF of 268,519,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72315705/1

Therefore the LCM of Fractions 319/268,595/519,381/606 is 72315705

Greatest Common Factor of 268,519,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,519,606 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 268,519,606 . The biggest common factor number is the GCF number.
So the greatest common factor 268,519,606 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 319/268, 595/519, 381/606

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 319/268, 595/519, 381/606?

Answer: LCM of Numerators as per given numbers 319/268, 595/519, 381/606 is

LCM of Numerators i.e. for 319,595,381 is 72315705

GCF of denominators i.e. for 268,519,606 is 1.

Thus, LCM of Fractions is 72315705.Finally, LCM of Fractions for 319/268, 595/519, 381/606 is 72315705.