Least Common Multiple of 28/19, 68/14, 30/33, 15/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/19, 68/14, 30/33, 15/420 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/19, 68/14, 30/33, 15/420 is 7140.

LCM(28/19, 68/14, 30/33, 15/420) = 7140

LCM of 28/19, 68/14, 30/33, 15/420

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 28/19,68/14,30/33,15/420

Given numbers are 28/19,68/14,30/33,15/420

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 28,68,30,15

Least Common Multiple of Numerators i.e. LCM of 28,68,30,15 is 7140.

GCF of Denominators means GCF of 19,14,33,420 as per the given fractions.

GCF of 19,14,33,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,68,30,15

LCM of Fractions 28/19,68/14,30/33,15/420 is 7140

2 28, 68, 30, 15
2 14, 34, 15, 15
3 7, 17, 15, 15
5 7, 17, 5, 5
7, 17, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 17 x 1 x 1 = 7140

Least Common Multiple of 28,68,30,15 with GCF Formula

Least Common Multiple of 28,68,30,15 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 28,68,30,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,68,30,15) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(28,68,30,15) x common factors =1 x 120 = 120

LCM(28,68,30,15) = ( 28 × 68 × 30 × 15 ) / 120

LCM(28,68,30,15) = 856800 / 120

LCM(28,68,30,15) = 7140


Lets's calculate GCF of 19,14,33,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7140/1

Therefore the LCM of Fractions 28/19,68/14,30/33,15/420 is 7140

Greatest Common Factor of 19,14,33,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,14,33,420 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 19,14,33,420 . The biggest common factor number is the GCF number.
So the greatest common factor 19,14,33,420 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 28/19, 68/14, 30/33, 15/420

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 28/19, 68/14, 30/33, 15/420?

Answer: LCM of Numerators as per given numbers 28/19, 68/14, 30/33, 15/420 is

LCM of Numerators i.e. for 28,68,30,15 is 7140

GCF of denominators i.e. for 19,14,33,420 is 1.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 28/19, 68/14, 30/33, 15/420 is 7140.