Least Common Multiple of 44/50, 936/33, 780/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/50, 936/33, 780/649 quickly i.e. 51480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/50, 936/33, 780/649 is 51480.

LCM(44/50, 936/33, 780/649) = 51480

LCM of 44/50, 936/33, 780/649

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 44/50,936/33,780/649

Given numbers are 44/50,936/33,780/649

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 44,936,780

Least Common Multiple of Numerators i.e. LCM of 44,936,780 is 51480.

GCF of Denominators means GCF of 50,33,649 as per the given fractions.

GCF of 50,33,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,936,780

LCM of Fractions 44/50,936/33,780/649 is 51480

2 44, 936, 780
2 22, 468, 390
3 11, 234, 195
13 11, 78, 65
11, 6, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 11 x 6 x 5 = 51480

Least Common Multiple of 44,936,780 with GCF Formula

Least Common Multiple of 44,936,780 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 44,936,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,936,780) = 4

common factors(in case of two or more numbers have common factors) = 156

GCF(44,936,780) x common factors =4 x 156 = 624

LCM(44,936,780) = ( 44 × 936 × 780 ) / 624

LCM(44,936,780) = 32123520 / 624

LCM(44,936,780) = 51480


Lets's calculate GCF of 50,33,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51480/1

Therefore the LCM of Fractions 44/50,936/33,780/649 is 51480

Greatest Common Factor of 50,33,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,33,649 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 50,33,649 . The biggest common factor number is the GCF number.
So the greatest common factor 50,33,649 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 44/50, 936/33, 780/649

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 44/50, 936/33, 780/649?

Answer: LCM of Numerators as per given numbers 44/50, 936/33, 780/649 is

LCM of Numerators i.e. for 44,936,780 is 51480

GCF of denominators i.e. for 50,33,649 is 1.

Thus, LCM of Fractions is 51480.Finally, LCM of Fractions for 44/50, 936/33, 780/649 is 51480.