Least Common Multiple of 36/644, 63/354, 414/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/644, 63/354, 414/550 quickly i.e. 2898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/644, 63/354, 414/550 is 2898.

LCM(36/644, 63/354, 414/550) = 2898

LCM of 36/644, 63/354, 414/550

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 36/644,63/354,414/550

Given numbers are 36/644,63/354,414/550

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 36,63,414

Least Common Multiple of Numerators i.e. LCM of 36,63,414 is 5796.

GCF of Denominators means GCF of 644,354,550 as per the given fractions.

GCF of 644,354,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,63,414

LCM of Fractions 36/644,63/354,414/550 is 2898

2 36, 63, 414
3 18, 63, 207
3 6, 21, 69
2, 7, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 7 x 23 = 5796

Least Common Multiple of 36,63,414 with GCF Formula

Least Common Multiple of 36,63,414 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 36,63,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,63,414) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(36,63,414) x common factors =9 x 18 = 162

LCM(36,63,414) = ( 36 × 63 × 414 ) / 162

LCM(36,63,414) = 938952 / 162

LCM(36,63,414) = 5796


Lets's calculate GCF of 644,354,550

2 644, 354, 550
322, 177, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5796/2

Therefore the LCM of Fractions 36/644,63/354,414/550 is 2898

Greatest Common Factor of 644,354,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,354,550 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 644,354,550 . The biggest common factor number is the GCF number.
So the greatest common factor 644,354,550 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 36/644, 63/354, 414/550

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 36/644, 63/354, 414/550?

Answer: LCM of Numerators as per given numbers 36/644, 63/354, 414/550 is

LCM of Numerators i.e. for 36,63,414 is 5796

GCF of denominators i.e. for 644,354,550 is 2.

Thus, LCM of Fractions is 2898.Finally, LCM of Fractions for 36/644, 63/354, 414/550 is 2898.