Least Common Multiple of 645/838, 620/660, 693/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/838, 620/660, 693/144 quickly i.e. 9237690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/838, 620/660, 693/144 is 9237690.

LCM(645/838, 620/660, 693/144) = 9237690

LCM of 645/838, 620/660, 693/144

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 645/838,620/660,693/144

Given numbers are 645/838,620/660,693/144

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 645,620,693

Least Common Multiple of Numerators i.e. LCM of 645,620,693 is 18475380.

GCF of Denominators means GCF of 838,660,144 as per the given fractions.

GCF of 838,660,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,620,693

LCM of Fractions 645/838,620/660,693/144 is 9237690

3 645, 620, 693
5 215, 620, 231
43, 124, 231

∴ So the LCM of the given numbers is 3 x 5 x 43 x 124 x 231 = 18475380

Least Common Multiple of 645,620,693 with GCF Formula

Least Common Multiple of 645,620,693 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 645,620,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,620,693) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(645,620,693) x common factors =1 x 15 = 15

LCM(645,620,693) = ( 645 × 620 × 693 ) / 15

LCM(645,620,693) = 277130700 / 15

LCM(645,620,693) = 18475380


Lets's calculate GCF of 838,660,144

2 838, 660, 144
419, 330, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18475380/2

Therefore the LCM of Fractions 645/838,620/660,693/144 is 9237690

Greatest Common Factor of 838,660,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,660,144 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 838,660,144 . The biggest common factor number is the GCF number.
So the greatest common factor 838,660,144 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 645/838, 620/660, 693/144

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 645/838, 620/660, 693/144?

Answer: LCM of Numerators as per given numbers 645/838, 620/660, 693/144 is

LCM of Numerators i.e. for 645,620,693 is 18475380

GCF of denominators i.e. for 838,660,144 is 2.

Thus, LCM of Fractions is 9237690.Finally, LCM of Fractions for 645/838, 620/660, 693/144 is 9237690.