Least Common Multiple of 318/105, 744/831, 509/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/105, 744/831, 509/388 quickly i.e. 20070888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/105, 744/831, 509/388 is 20070888.

LCM(318/105, 744/831, 509/388) = 20070888

LCM of 318/105, 744/831, 509/388

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 318/105,744/831,509/388

Given numbers are 318/105,744/831,509/388

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 318,744,509

Least Common Multiple of Numerators i.e. LCM of 318,744,509 is 20070888.

GCF of Denominators means GCF of 105,831,388 as per the given fractions.

GCF of 105,831,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,744,509

LCM of Fractions 318/105,744/831,509/388 is 20070888

2 318, 744, 509
3 159, 372, 509
53, 124, 509

∴ So the LCM of the given numbers is 2 x 3 x 53 x 124 x 509 = 20070888

Least Common Multiple of 318,744,509 with GCF Formula

Least Common Multiple of 318,744,509 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 318,744,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,744,509) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(318,744,509) x common factors =1 x 6 = 6

LCM(318,744,509) = ( 318 × 744 × 509 ) / 6

LCM(318,744,509) = 120425328 / 6

LCM(318,744,509) = 20070888


Lets's calculate GCF of 105,831,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20070888/1

Therefore the LCM of Fractions 318/105,744/831,509/388 is 20070888

Greatest Common Factor of 105,831,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,831,388 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 105,831,388 . The biggest common factor number is the GCF number.
So the greatest common factor 105,831,388 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 318/105, 744/831, 509/388

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 318/105, 744/831, 509/388?

Answer: LCM of Numerators as per given numbers 318/105, 744/831, 509/388 is

LCM of Numerators i.e. for 318,744,509 is 20070888

GCF of denominators i.e. for 105,831,388 is 1.

Thus, LCM of Fractions is 20070888.Finally, LCM of Fractions for 318/105, 744/831, 509/388 is 20070888.