Least Common Multiple of 44/14, 609/44, 792/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/14, 609/44, 792/920 quickly i.e. 80388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/14, 609/44, 792/920 is 80388.

LCM(44/14, 609/44, 792/920) = 80388

LCM of 44/14, 609/44, 792/920

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 44/14,609/44,792/920

Given numbers are 44/14,609/44,792/920

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 44,609,792

Least Common Multiple of Numerators i.e. LCM of 44,609,792 is 160776.

GCF of Denominators means GCF of 14,44,920 as per the given fractions.

GCF of 14,44,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,609,792

LCM of Fractions 44/14,609/44,792/920 is 80388

2 44, 609, 792
2 22, 609, 396
3 11, 609, 198
11 11, 203, 66
1, 203, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 203 x 6 = 160776

Least Common Multiple of 44,609,792 with GCF Formula

Least Common Multiple of 44,609,792 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 44,609,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,609,792) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(44,609,792) x common factors =1 x 132 = 132

LCM(44,609,792) = ( 44 × 609 × 792 ) / 132

LCM(44,609,792) = 21222432 / 132

LCM(44,609,792) = 160776


Lets's calculate GCF of 14,44,920

2 14, 44, 920
7, 22, 460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160776/2

Therefore the LCM of Fractions 44/14,609/44,792/920 is 80388

Greatest Common Factor of 14,44,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,44,920 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 14,44,920 . The biggest common factor number is the GCF number.
So the greatest common factor 14,44,920 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 44/14, 609/44, 792/920

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 44/14, 609/44, 792/920?

Answer: LCM of Numerators as per given numbers 44/14, 609/44, 792/920 is

LCM of Numerators i.e. for 44,609,792 is 160776

GCF of denominators i.e. for 14,44,920 is 2.

Thus, LCM of Fractions is 80388.Finally, LCM of Fractions for 44/14, 609/44, 792/920 is 80388.