Least Common Multiple of 1405/677, 9287/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1405/677, 9287/718 quickly i.e. 13048235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1405/677, 9287/718 is 13048235.

LCM(1405/677, 9287/718) = 13048235

LCM of 1405/677, 9287/718

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 1405/677,9287/718

Given numbers are 1405/677,9287/718

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 1405,9287

Least Common Multiple of Numerators i.e. LCM of 1405,9287 is 13048235.

GCF of Denominators means GCF of 677,718 as per the given fractions.

GCF of 677,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1405,9287

LCM of Fractions 1405/677,9287/718 is 13048235

Given numbers has no common factors except 1. So, there LCM is their product i.e 13048235

Least Common Multiple of 1405,9287 with GCF Formula

Least Common Multiple of 1405,9287 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 1405,9287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1405,9287) = 1

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

GCF(1405,9287) x common factors =1 x 1 = 1

LCM(1405,9287) = ( 1405 × 9287 ) / 1

LCM(1405,9287) = 13048235 / 1

LCM(1405,9287) = 13048235


Lets's calculate GCF of 677,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13048235/1

Therefore the LCM of Fractions 1405/677,9287/718 is 13048235

Greatest Common Factor of 677,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,718 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 677,718 . The biggest common factor number is the GCF number.
So the greatest common factor 677,718 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 1405/677, 9287/718

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 1405/677, 9287/718?

Answer: LCM of Numerators as per given numbers 1405/677, 9287/718 is

LCM of Numerators i.e. for 1405,9287 is 13048235

GCF of denominators i.e. for 677,718 is 1.

Thus, LCM of Fractions is 13048235.Finally, LCM of Fractions for 1405/677, 9287/718 is 13048235.