Least Common Multiple of 687/40, 367/98, 794/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/40, 367/98, 794/744 quickly i.e. 100095213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/40, 367/98, 794/744 is 100095213.

LCM(687/40, 367/98, 794/744) = 100095213

LCM of 687/40, 367/98, 794/744

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 687/40,367/98,794/744

Given numbers are 687/40,367/98,794/744

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 687,367,794

Least Common Multiple of Numerators i.e. LCM of 687,367,794 is 200190426.

GCF of Denominators means GCF of 40,98,744 as per the given fractions.

GCF of 40,98,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,367,794

LCM of Fractions 687/40,367/98,794/744 is 100095213

Given numbers has no common factors except 1. So, there LCM is their product i.e 200190426

Least Common Multiple of 687,367,794 with GCF Formula

Least Common Multiple of 687,367,794 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 687,367,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,367,794) = 1

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

GCF(687,367,794) x common factors =1 x 1 = 1

LCM(687,367,794) = ( 687 × 367 × 794 ) / 1

LCM(687,367,794) = 200190426 / 1

LCM(687,367,794) = 200190426


Lets's calculate GCF of 40,98,744

2 40, 98, 744
20, 49, 372

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200190426/2

Therefore the LCM of Fractions 687/40,367/98,794/744 is 100095213

Greatest Common Factor of 40,98,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,98,744 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 40,98,744 . The biggest common factor number is the GCF number.
So the greatest common factor 40,98,744 is 2.


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 687/40, 367/98, 794/744

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 687/40, 367/98, 794/744?

Answer: LCM of Numerators as per given numbers 687/40, 367/98, 794/744 is

LCM of Numerators i.e. for 687,367,794 is 200190426

GCF of denominators i.e. for 40,98,744 is 2.

Thus, LCM of Fractions is 100095213.Finally, LCM of Fractions for 687/40, 367/98, 794/744 is 100095213.