Least Common Multiple of 19/28, 48/16, 78/74, 93/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/28, 48/16, 78/74, 93/941 quickly i.e. 367536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/28, 48/16, 78/74, 93/941 is 367536.

LCM(19/28, 48/16, 78/74, 93/941) = 367536

LCM of 19/28, 48/16, 78/74, 93/941

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 19/28,48/16,78/74,93/941

Given numbers are 19/28,48/16,78/74,93/941

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 19,48,78,93

Least Common Multiple of Numerators i.e. LCM of 19,48,78,93 is 367536.

GCF of Denominators means GCF of 28,16,74,941 as per the given fractions.

GCF of 28,16,74,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,48,78,93

LCM of Fractions 19/28,48/16,78/74,93/941 is 367536

2 19, 48, 78, 93
3 19, 24, 39, 93
19, 8, 13, 31

∴ So the LCM of the given numbers is 2 x 3 x 19 x 8 x 13 x 31 = 367536

Least Common Multiple of 19,48,78,93 with GCF Formula

Least Common Multiple of 19,48,78,93 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 19,48,78,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,48,78,93) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(19,48,78,93) x common factors =1 x 18 = 18

LCM(19,48,78,93) = ( 19 × 48 × 78 × 93 ) / 18

LCM(19,48,78,93) = 6615648 / 18

LCM(19,48,78,93) = 367536


Lets's calculate GCF of 28,16,74,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367536/1

Therefore the LCM of Fractions 19/28,48/16,78/74,93/941 is 367536

Greatest Common Factor of 28,16,74,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,16,74,941 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 28,16,74,941 . The biggest common factor number is the GCF number.
So the greatest common factor 28,16,74,941 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 19/28, 48/16, 78/74, 93/941

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 19/28, 48/16, 78/74, 93/941?

Answer: LCM of Numerators as per given numbers 19/28, 48/16, 78/74, 93/941 is

LCM of Numerators i.e. for 19,48,78,93 is 367536

GCF of denominators i.e. for 28,16,74,941 is 1.

Thus, LCM of Fractions is 367536.Finally, LCM of Fractions for 19/28, 48/16, 78/74, 93/941 is 367536.