Least Common Multiple of 67/19, 63/29, 14/28, 21/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/19, 63/29, 14/28, 21/514 quickly i.e. 8442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/19, 63/29, 14/28, 21/514 is 8442.

LCM(67/19, 63/29, 14/28, 21/514) = 8442

LCM of 67/19, 63/29, 14/28, 21/514

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 67/19,63/29,14/28,21/514

Given numbers are 67/19,63/29,14/28,21/514

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 67,63,14,21

Least Common Multiple of Numerators i.e. LCM of 67,63,14,21 is 8442.

GCF of Denominators means GCF of 19,29,28,514 as per the given fractions.

GCF of 19,29,28,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,63,14,21

LCM of Fractions 67/19,63/29,14/28,21/514 is 8442

3 67, 63, 14, 21
7 67, 21, 14, 7
67, 3, 2, 1

∴ So the LCM of the given numbers is 3 x 7 x 67 x 3 x 2 x 1 = 8442

Least Common Multiple of 67,63,14,21 with GCF Formula

Least Common Multiple of 67,63,14,21 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 67,63,14,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,63,14,21) = 1

common factors(in case of two or more numbers have common factors) = 147

GCF(67,63,14,21) x common factors =1 x 147 = 147

LCM(67,63,14,21) = ( 67 × 63 × 14 × 21 ) / 147

LCM(67,63,14,21) = 1240974 / 147

LCM(67,63,14,21) = 8442


Lets's calculate GCF of 19,29,28,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8442/1

Therefore the LCM of Fractions 67/19,63/29,14/28,21/514 is 8442

Greatest Common Factor of 19,29,28,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,29,28,514 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 28

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

1,2,4,7,14,28

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 19,29,28,514 . The biggest common factor number is the GCF number.
So the greatest common factor 19,29,28,514 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 67/19, 63/29, 14/28, 21/514

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 67/19, 63/29, 14/28, 21/514?

Answer: LCM of Numerators as per given numbers 67/19, 63/29, 14/28, 21/514 is

LCM of Numerators i.e. for 67,63,14,21 is 8442

GCF of denominators i.e. for 19,29,28,514 is 1.

Thus, LCM of Fractions is 8442.Finally, LCM of Fractions for 67/19, 63/29, 14/28, 21/514 is 8442.