Least Common Multiple of 44/48, 77/16, 86/44, 726/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/48, 77/16, 86/44, 726/72 quickly i.e. 109263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/48, 77/16, 86/44, 726/72 is 109263.

LCM(44/48, 77/16, 86/44, 726/72) = 109263

LCM of 44/48, 77/16, 86/44, 726/72

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 44/48,77/16,86/44,726/72

Given numbers are 44/48,77/16,86/44,726/72

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 44,77,86,726

Least Common Multiple of Numerators i.e. LCM of 44,77,86,726 is 437052.

GCF of Denominators means GCF of 48,16,44,72 as per the given fractions.

GCF of 48,16,44,72 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,77,86,726

LCM of Fractions 44/48,77/16,86/44,726/72 is 109263

2 44, 77, 86, 726
11 22, 77, 43, 363
2, 7, 43, 33

∴ So the LCM of the given numbers is 2 x 11 x 2 x 7 x 43 x 33 = 437052

Least Common Multiple of 44,77,86,726 with GCF Formula

Least Common Multiple of 44,77,86,726 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 44,77,86,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,77,86,726) = 1

common factors(in case of two or more numbers have common factors) = 484

GCF(44,77,86,726) x common factors =1 x 484 = 484

LCM(44,77,86,726) = ( 44 × 77 × 86 × 726 ) / 484

LCM(44,77,86,726) = 211533168 / 484

LCM(44,77,86,726) = 437052


Lets's calculate GCF of 48,16,44,72

2 48, 16, 44, 72
2 24, 8, 22, 36
12, 4, 11, 18

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 437052/4

Therefore the LCM of Fractions 44/48,77/16,86/44,726/72 is 109263

Greatest Common Factor of 48,16,44,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,16,44,72 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 44

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

1,2,4,11,22,44

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 48,16,44,72 . The biggest common factor number is the GCF number.
So the greatest common factor 48,16,44,72 is 4.


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 44/48, 77/16, 86/44, 726/72

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 44/48, 77/16, 86/44, 726/72?

Answer: LCM of Numerators as per given numbers 44/48, 77/16, 86/44, 726/72 is

LCM of Numerators i.e. for 44,77,86,726 is 437052

GCF of denominators i.e. for 48,16,44,72 is 4.

Thus, LCM of Fractions is 109263.Finally, LCM of Fractions for 44/48, 77/16, 86/44, 726/72 is 109263.