Least Common Multiple of 318/11, 786/31, 174/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/11, 786/31, 174/319 quickly i.e. 1208082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/11, 786/31, 174/319 is 1208082.

LCM(318/11, 786/31, 174/319) = 1208082

LCM of 318/11, 786/31, 174/319

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 318/11,786/31,174/319

Given numbers are 318/11,786/31,174/319

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 318,786,174

Least Common Multiple of Numerators i.e. LCM of 318,786,174 is 1208082.

GCF of Denominators means GCF of 11,31,319 as per the given fractions.

GCF of 11,31,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,786,174

LCM of Fractions 318/11,786/31,174/319 is 1208082

2 318, 786, 174
3 159, 393, 87
53, 131, 29

∴ So the LCM of the given numbers is 2 x 3 x 53 x 131 x 29 = 1208082

Least Common Multiple of 318,786,174 with GCF Formula

Least Common Multiple of 318,786,174 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 318,786,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,786,174) = 6

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

GCF(318,786,174) x common factors =6 x 6 = 36

LCM(318,786,174) = ( 318 × 786 × 174 ) / 36

LCM(318,786,174) = 43490952 / 36

LCM(318,786,174) = 1208082


Lets's calculate GCF of 11,31,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1208082/1

Therefore the LCM of Fractions 318/11,786/31,174/319 is 1208082

Greatest Common Factor of 11,31,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,31,319 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 31

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

1,31

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 11,31,319 . The biggest common factor number is the GCF number.
So the greatest common factor 11,31,319 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 318/11, 786/31, 174/319

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 318/11, 786/31, 174/319?

Answer: LCM of Numerators as per given numbers 318/11, 786/31, 174/319 is

LCM of Numerators i.e. for 318,786,174 is 1208082

GCF of denominators i.e. for 11,31,319 is 1.

Thus, LCM of Fractions is 1208082.Finally, LCM of Fractions for 318/11, 786/31, 174/319 is 1208082.