Least Common Multiple of 744/384, 3256/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/384, 3256/916 quickly i.e. 75702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/384, 3256/916 is 75702.

LCM(744/384, 3256/916) = 75702

LCM of 744/384, 3256/916

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 744/384,3256/916

Given numbers are 744/384,3256/916

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 744,3256

Least Common Multiple of Numerators i.e. LCM of 744,3256 is 302808.

GCF of Denominators means GCF of 384,916 as per the given fractions.

GCF of 384,916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,3256

LCM of Fractions 744/384,3256/916 is 75702

2 744, 3256
2 372, 1628
2 186, 814
93, 407

∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 407 = 302808

Least Common Multiple of 744,3256 with GCF Formula

Least Common Multiple of 744,3256 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 744,3256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,3256) = 8

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

GCF(744,3256) x common factors =8 x 1 = 8

LCM(744,3256) = ( 744 × 3256 ) / 8

LCM(744,3256) = 2422464 / 8

LCM(744,3256) = 302808


Lets's calculate GCF of 384,916

2 384, 916
2 192, 458
96, 229

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302808/4

Therefore the LCM of Fractions 744/384,3256/916 is 75702

Greatest Common Factor of 384,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,916 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 384,916 . The biggest common factor number is the GCF number.
So the greatest common factor 384,916 is 4.


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 744/384, 3256/916

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 744/384, 3256/916?

Answer: LCM of Numerators as per given numbers 744/384, 3256/916 is

LCM of Numerators i.e. for 744,3256 is 302808

GCF of denominators i.e. for 384,916 is 4.

Thus, LCM of Fractions is 75702.Finally, LCM of Fractions for 744/384, 3256/916 is 75702.