Least Common Multiple of 744/68, 410/95, 794/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/68, 410/95, 794/100 quickly i.e. 60550440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/68, 410/95, 794/100 is 60550440.

LCM(744/68, 410/95, 794/100) = 60550440

LCM of 744/68, 410/95, 794/100

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 744/68,410/95,794/100

Given numbers are 744/68,410/95,794/100

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 744,410,794

Least Common Multiple of Numerators i.e. LCM of 744,410,794 is 60550440.

GCF of Denominators means GCF of 68,95,100 as per the given fractions.

GCF of 68,95,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,410,794

LCM of Fractions 744/68,410/95,794/100 is 60550440

2 744, 410, 794
372, 205, 397

∴ So the LCM of the given numbers is 2 x 372 x 205 x 397 = 60550440

Least Common Multiple of 744,410,794 with GCF Formula

Least Common Multiple of 744,410,794 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 744,410,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,410,794) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(744,410,794) x common factors =2 x 2 = 4

LCM(744,410,794) = ( 744 × 410 × 794 ) / 4

LCM(744,410,794) = 242201760 / 4

LCM(744,410,794) = 60550440


Lets's calculate GCF of 68,95,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60550440/1

Therefore the LCM of Fractions 744/68,410/95,794/100 is 60550440

Greatest Common Factor of 68,95,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,95,100 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 68,95,100 . The biggest common factor number is the GCF number.
So the greatest common factor 68,95,100 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 744/68, 410/95, 794/100

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 744/68, 410/95, 794/100?

Answer: LCM of Numerators as per given numbers 744/68, 410/95, 794/100 is

LCM of Numerators i.e. for 744,410,794 is 60550440

GCF of denominators i.e. for 68,95,100 is 1.

Thus, LCM of Fractions is 60550440.Finally, LCM of Fractions for 744/68, 410/95, 794/100 is 60550440.