Least Common Multiple of 712/758, 9374/4374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/758, 9374/4374 quickly i.e. 1668572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/758, 9374/4374 is 1668572.

LCM(712/758, 9374/4374) = 1668572

LCM of 712/758, 9374/4374

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 712/758,9374/4374

Given numbers are 712/758,9374/4374

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 712,9374

Least Common Multiple of Numerators i.e. LCM of 712,9374 is 3337144.

GCF of Denominators means GCF of 758,4374 as per the given fractions.

GCF of 758,4374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,9374

LCM of Fractions 712/758,9374/4374 is 1668572

2 712, 9374
356, 4687

∴ So the LCM of the given numbers is 2 x 356 x 4687 = 3337144

Least Common Multiple of 712,9374 with GCF Formula

Least Common Multiple of 712,9374 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 712,9374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,9374) = 2

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

GCF(712,9374) x common factors =2 x 1 = 2

LCM(712,9374) = ( 712 × 9374 ) / 2

LCM(712,9374) = 6674288 / 2

LCM(712,9374) = 3337144


Lets's calculate GCF of 758,4374

2 758, 4374
379, 2187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3337144/2

Therefore the LCM of Fractions 712/758,9374/4374 is 1668572

Greatest Common Factor of 758,4374 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,4374 By Matching Biggest Common Factor Method

Factors of 758

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

1,2,379,758

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Greatest Common Factor

We found the factors 758,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 758,4374 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 712/758, 9374/4374

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 712/758, 9374/4374?

Answer: LCM of Numerators as per given numbers 712/758, 9374/4374 is

LCM of Numerators i.e. for 712,9374 is 3337144

GCF of denominators i.e. for 758,4374 is 2.

Thus, LCM of Fractions is 1668572.Finally, LCM of Fractions for 712/758, 9374/4374 is 1668572.