Least Common Multiple of 741/150, 744/758, 684/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/150, 744/758, 684/398 quickly i.e. 275652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/150, 744/758, 684/398 is 275652.

LCM(741/150, 744/758, 684/398) = 275652

LCM of 741/150, 744/758, 684/398

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 741/150,744/758,684/398

Given numbers are 741/150,744/758,684/398

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 741,744,684

Least Common Multiple of Numerators i.e. LCM of 741,744,684 is 551304.

GCF of Denominators means GCF of 150,758,398 as per the given fractions.

GCF of 150,758,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,744,684

LCM of Fractions 741/150,744/758,684/398 is 275652

2 741, 744, 684
2 741, 372, 342
3 741, 186, 171
19 247, 62, 57
13, 62, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 13 x 62 x 3 = 551304

Least Common Multiple of 741,744,684 with GCF Formula

Least Common Multiple of 741,744,684 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 741,744,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,744,684) = 3

common factors(in case of two or more numbers have common factors) = 228

GCF(741,744,684) x common factors =3 x 228 = 684

LCM(741,744,684) = ( 741 × 744 × 684 ) / 684

LCM(741,744,684) = 377091936 / 684

LCM(741,744,684) = 551304


Lets's calculate GCF of 150,758,398

2 150, 758, 398
75, 379, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551304/2

Therefore the LCM of Fractions 741/150,744/758,684/398 is 275652

Greatest Common Factor of 150,758,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,758,398 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 150,758,398 . The biggest common factor number is the GCF number.
So the greatest common factor 150,758,398 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 741/150, 744/758, 684/398

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 741/150, 744/758, 684/398?

Answer: LCM of Numerators as per given numbers 741/150, 744/758, 684/398 is

LCM of Numerators i.e. for 741,744,684 is 551304

GCF of denominators i.e. for 150,758,398 is 2.

Thus, LCM of Fractions is 275652.Finally, LCM of Fractions for 741/150, 744/758, 684/398 is 275652.