Least Common Multiple of 68/67, 28/660, 144/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/67, 28/660, 144/630 quickly i.e. 17136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/67, 28/660, 144/630 is 17136.

LCM(68/67, 28/660, 144/630) = 17136

LCM of 68/67, 28/660, 144/630

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 68/67,28/660,144/630

Given numbers are 68/67,28/660,144/630

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 68,28,144

Least Common Multiple of Numerators i.e. LCM of 68,28,144 is 17136.

GCF of Denominators means GCF of 67,660,630 as per the given fractions.

GCF of 67,660,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,28,144

LCM of Fractions 68/67,28/660,144/630 is 17136

2 68, 28, 144
2 34, 14, 72
17, 7, 36

∴ So the LCM of the given numbers is 2 x 2 x 17 x 7 x 36 = 17136

Least Common Multiple of 68,28,144 with GCF Formula

Least Common Multiple of 68,28,144 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 68,28,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,28,144) = 4

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

GCF(68,28,144) x common factors =4 x 4 = 16

LCM(68,28,144) = ( 68 × 28 × 144 ) / 16

LCM(68,28,144) = 274176 / 16

LCM(68,28,144) = 17136


Lets's calculate GCF of 67,660,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17136/1

Therefore the LCM of Fractions 68/67,28/660,144/630 is 17136

Greatest Common Factor of 67,660,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,660,630 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 67,660,630 . The biggest common factor number is the GCF number.
So the greatest common factor 67,660,630 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 68/67, 28/660, 144/630

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 68/67, 28/660, 144/630?

Answer: LCM of Numerators as per given numbers 68/67, 28/660, 144/630 is

LCM of Numerators i.e. for 68,28,144 is 17136

GCF of denominators i.e. for 67,660,630 is 1.

Thus, LCM of Fractions is 17136.Finally, LCM of Fractions for 68/67, 28/660, 144/630 is 17136.