Least Common Multiple of 838/63, 370/66, 684/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/63, 370/66, 684/963 quickly i.e. 17673420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/63, 370/66, 684/963 is 17673420.

LCM(838/63, 370/66, 684/963) = 17673420

LCM of 838/63, 370/66, 684/963

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 838/63,370/66,684/963

Given numbers are 838/63,370/66,684/963

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 838,370,684

Least Common Multiple of Numerators i.e. LCM of 838,370,684 is 53020260.

GCF of Denominators means GCF of 63,66,963 as per the given fractions.

GCF of 63,66,963 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,370,684

LCM of Fractions 838/63,370/66,684/963 is 17673420

2 838, 370, 684
419, 185, 342

∴ So the LCM of the given numbers is 2 x 419 x 185 x 342 = 53020260

Least Common Multiple of 838,370,684 with GCF Formula

Least Common Multiple of 838,370,684 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 838,370,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,370,684) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(838,370,684) x common factors =2 x 2 = 4

LCM(838,370,684) = ( 838 × 370 × 684 ) / 4

LCM(838,370,684) = 212081040 / 4

LCM(838,370,684) = 53020260


Lets's calculate GCF of 63,66,963

3 63, 66, 963
21, 22, 321

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53020260/3

Therefore the LCM of Fractions 838/63,370/66,684/963 is 17673420

Greatest Common Factor of 63,66,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,66,963 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 63,66,963 . The biggest common factor number is the GCF number.
So the greatest common factor 63,66,963 is 3.


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 838/63, 370/66, 684/963

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 838/63, 370/66, 684/963?

Answer: LCM of Numerators as per given numbers 838/63, 370/66, 684/963 is

LCM of Numerators i.e. for 838,370,684 is 53020260

GCF of denominators i.e. for 63,66,963 is 3.

Thus, LCM of Fractions is 17673420.Finally, LCM of Fractions for 838/63, 370/66, 684/963 is 17673420.