Least Common Multiple of 63/611, 32/384, 246/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/611, 32/384, 246/756 quickly i.e. 82656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/611, 32/384, 246/756 is 82656.

LCM(63/611, 32/384, 246/756) = 82656

LCM of 63/611, 32/384, 246/756

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 63/611,32/384,246/756

Given numbers are 63/611,32/384,246/756

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 63,32,246

Least Common Multiple of Numerators i.e. LCM of 63,32,246 is 82656.

GCF of Denominators means GCF of 611,384,756 as per the given fractions.

GCF of 611,384,756 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,32,246

LCM of Fractions 63/611,32/384,246/756 is 82656

2 63, 32, 246
3 63, 16, 123
21, 16, 41

∴ So the LCM of the given numbers is 2 x 3 x 21 x 16 x 41 = 82656

Least Common Multiple of 63,32,246 with GCF Formula

Least Common Multiple of 63,32,246 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 63,32,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,32,246) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(63,32,246) x common factors =1 x 6 = 6

LCM(63,32,246) = ( 63 × 32 × 246 ) / 6

LCM(63,32,246) = 495936 / 6

LCM(63,32,246) = 82656


Lets's calculate GCF of 611,384,756

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82656/1

Therefore the LCM of Fractions 63/611,32/384,246/756 is 82656

Greatest Common Factor of 611,384,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,384,756 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 611,384,756 . The biggest common factor number is the GCF number.
So the greatest common factor 611,384,756 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/611, 32/384, 246/756

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 63/611, 32/384, 246/756?

Answer: LCM of Numerators as per given numbers 63/611, 32/384, 246/756 is

LCM of Numerators i.e. for 63,32,246 is 82656

GCF of denominators i.e. for 611,384,756 is 1.

Thus, LCM of Fractions is 82656.Finally, LCM of Fractions for 63/611, 32/384, 246/756 is 82656.