Least Common Multiple of 46/90, 12/96, 26/38, 78/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/90, 12/96, 26/38, 78/792 quickly i.e. 1794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/90, 12/96, 26/38, 78/792 is 1794.

LCM(46/90, 12/96, 26/38, 78/792) = 1794

LCM of 46/90, 12/96, 26/38, 78/792

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 46/90,12/96,26/38,78/792

Given numbers are 46/90,12/96,26/38,78/792

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 46,12,26,78

Least Common Multiple of Numerators i.e. LCM of 46,12,26,78 is 3588.

GCF of Denominators means GCF of 90,96,38,792 as per the given fractions.

GCF of 90,96,38,792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,12,26,78

LCM of Fractions 46/90,12/96,26/38,78/792 is 1794

2 46, 12, 26, 78
3 23, 6, 13, 39
13 23, 2, 13, 13
23, 2, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 23 x 2 x 1 x 1 = 3588

Least Common Multiple of 46,12,26,78 with GCF Formula

Least Common Multiple of 46,12,26,78 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 46,12,26,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,12,26,78) = 2

common factors(in case of two or more numbers have common factors) = 156

GCF(46,12,26,78) x common factors =2 x 156 = 312

LCM(46,12,26,78) = ( 46 × 12 × 26 × 78 ) / 312

LCM(46,12,26,78) = 1119456 / 312

LCM(46,12,26,78) = 3588


Lets's calculate GCF of 90,96,38,792

2 90, 96, 38, 792
45, 48, 19, 396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3588/2

Therefore the LCM of Fractions 46/90,12/96,26/38,78/792 is 1794

Greatest Common Factor of 90,96,38,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,96,38,792 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 90,96,38,792 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,38,792 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 46/90, 12/96, 26/38, 78/792

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 46/90, 12/96, 26/38, 78/792?

Answer: LCM of Numerators as per given numbers 46/90, 12/96, 26/38, 78/792 is

LCM of Numerators i.e. for 46,12,26,78 is 3588

GCF of denominators i.e. for 90,96,38,792 is 2.

Thus, LCM of Fractions is 1794.Finally, LCM of Fractions for 46/90, 12/96, 26/38, 78/792 is 1794.