Least Common Multiple of 28/68, 19/74, 24/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/68, 19/74, 24/428 quickly i.e. 1596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/68, 19/74, 24/428 is 1596.

LCM(28/68, 19/74, 24/428) = 1596

LCM of 28/68, 19/74, 24/428

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 28/68,19/74,24/428

Given numbers are 28/68,19/74,24/428

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 28,19,24

Least Common Multiple of Numerators i.e. LCM of 28,19,24 is 3192.

GCF of Denominators means GCF of 68,74,428 as per the given fractions.

GCF of 68,74,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,19,24

LCM of Fractions 28/68,19/74,24/428 is 1596

2 28, 19, 24
2 14, 19, 12
7, 19, 6

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 6 = 3192

Least Common Multiple of 28,19,24 with GCF Formula

Least Common Multiple of 28,19,24 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 28,19,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,19,24) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,19,24) x common factors =1 x 4 = 4

LCM(28,19,24) = ( 28 × 19 × 24 ) / 4

LCM(28,19,24) = 12768 / 4

LCM(28,19,24) = 3192


Lets's calculate GCF of 68,74,428

2 68, 74, 428
34, 37, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3192/2

Therefore the LCM of Fractions 28/68,19/74,24/428 is 1596

Greatest Common Factor of 68,74,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,74,428 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 74

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

1,2,37,74

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 68,74,428 . The biggest common factor number is the GCF number.
So the greatest common factor 68,74,428 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 28/68, 19/74, 24/428

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 28/68, 19/74, 24/428?

Answer: LCM of Numerators as per given numbers 28/68, 19/74, 24/428 is

LCM of Numerators i.e. for 28,19,24 is 3192

GCF of denominators i.e. for 68,74,428 is 2.

Thus, LCM of Fractions is 1596.Finally, LCM of Fractions for 28/68, 19/74, 24/428 is 1596.