Least Common Multiple of 44/72, 68/84, 30/80, 98/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/72, 68/84, 30/80, 98/309 quickly i.e. 549780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/72, 68/84, 30/80, 98/309 is 549780.

LCM(44/72, 68/84, 30/80, 98/309) = 549780

LCM of 44/72, 68/84, 30/80, 98/309

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 44/72,68/84,30/80,98/309

Given numbers are 44/72,68/84,30/80,98/309

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 44,68,30,98

Least Common Multiple of Numerators i.e. LCM of 44,68,30,98 is 549780.

GCF of Denominators means GCF of 72,84,80,309 as per the given fractions.

GCF of 72,84,80,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,68,30,98

LCM of Fractions 44/72,68/84,30/80,98/309 is 549780

2 44, 68, 30, 98
2 22, 34, 15, 49
11, 17, 15, 49

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 15 x 49 = 549780

Least Common Multiple of 44,68,30,98 with GCF Formula

Least Common Multiple of 44,68,30,98 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 44,68,30,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,68,30,98) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(44,68,30,98) x common factors =2 x 8 = 16

LCM(44,68,30,98) = ( 44 × 68 × 30 × 98 ) / 16

LCM(44,68,30,98) = 8796480 / 16

LCM(44,68,30,98) = 549780


Lets's calculate GCF of 72,84,80,309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549780/1

Therefore the LCM of Fractions 44/72,68/84,30/80,98/309 is 549780

Greatest Common Factor of 72,84,80,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,84,80,309 By Matching Biggest Common Factor Method

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

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 72,84,80,309 . The biggest common factor number is the GCF number.
So the greatest common factor 72,84,80,309 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 44/72, 68/84, 30/80, 98/309

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 44/72, 68/84, 30/80, 98/309?

Answer: LCM of Numerators as per given numbers 44/72, 68/84, 30/80, 98/309 is

LCM of Numerators i.e. for 44,68,30,98 is 549780

GCF of denominators i.e. for 72,84,80,309 is 1.

Thus, LCM of Fractions is 549780.Finally, LCM of Fractions for 44/72, 68/84, 30/80, 98/309 is 549780.