Least Common Multiple of 340/815, 871/386, 451/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/815, 871/386, 451/307 quickly i.e. 133559140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/815, 871/386, 451/307 is 133559140.

LCM(340/815, 871/386, 451/307) = 133559140

LCM of 340/815, 871/386, 451/307

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 340/815,871/386,451/307

Given numbers are 340/815,871/386,451/307

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 340,871,451

Least Common Multiple of Numerators i.e. LCM of 340,871,451 is 133559140.

GCF of Denominators means GCF of 815,386,307 as per the given fractions.

GCF of 815,386,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,871,451

LCM of Fractions 340/815,871/386,451/307 is 133559140

Given numbers has no common factors except 1. So, there LCM is their product i.e 133559140

Least Common Multiple of 340,871,451 with GCF Formula

Least Common Multiple of 340,871,451 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 340,871,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,871,451) = 1

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

GCF(340,871,451) x common factors =1 x 1 = 1

LCM(340,871,451) = ( 340 × 871 × 451 ) / 1

LCM(340,871,451) = 133559140 / 1

LCM(340,871,451) = 133559140


Lets's calculate GCF of 815,386,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133559140/1

Therefore the LCM of Fractions 340/815,871/386,451/307 is 133559140

Greatest Common Factor of 815,386,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,386,307 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 815,386,307 . The biggest common factor number is the GCF number.
So the greatest common factor 815,386,307 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 340/815, 871/386, 451/307

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 340/815, 871/386, 451/307?

Answer: LCM of Numerators as per given numbers 340/815, 871/386, 451/307 is

LCM of Numerators i.e. for 340,871,451 is 133559140

GCF of denominators i.e. for 815,386,307 is 1.

Thus, LCM of Fractions is 133559140.Finally, LCM of Fractions for 340/815, 871/386, 451/307 is 133559140.