Least Common Multiple of 82/55, 45/26, 88/23, 30/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/55, 45/26, 88/23, 30/744 quickly i.e. 162360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/55, 45/26, 88/23, 30/744 is 162360.

LCM(82/55, 45/26, 88/23, 30/744) = 162360

LCM of 82/55, 45/26, 88/23, 30/744

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 82/55,45/26,88/23,30/744

Given numbers are 82/55,45/26,88/23,30/744

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 82,45,88,30

Least Common Multiple of Numerators i.e. LCM of 82,45,88,30 is 162360.

GCF of Denominators means GCF of 55,26,23,744 as per the given fractions.

GCF of 55,26,23,744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,45,88,30

LCM of Fractions 82/55,45/26,88/23,30/744 is 162360

2 82, 45, 88, 30
3 41, 45, 44, 15
5 41, 5, 44, 15
41, 1, 44, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 41 x 1 x 44 x 3 = 162360

Least Common Multiple of 82,45,88,30 with GCF Formula

Least Common Multiple of 82,45,88,30 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 82,45,88,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,45,88,30) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(82,45,88,30) x common factors =1 x 60 = 60

LCM(82,45,88,30) = ( 82 × 45 × 88 × 30 ) / 60

LCM(82,45,88,30) = 9741600 / 60

LCM(82,45,88,30) = 162360


Lets's calculate GCF of 55,26,23,744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162360/1

Therefore the LCM of Fractions 82/55,45/26,88/23,30/744 is 162360

Greatest Common Factor of 55,26,23,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,26,23,744 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 55,26,23,744 . The biggest common factor number is the GCF number.
So the greatest common factor 55,26,23,744 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 82/55, 45/26, 88/23, 30/744

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 82/55, 45/26, 88/23, 30/744?

Answer: LCM of Numerators as per given numbers 82/55, 45/26, 88/23, 30/744 is

LCM of Numerators i.e. for 82,45,88,30 is 162360

GCF of denominators i.e. for 55,26,23,744 is 1.

Thus, LCM of Fractions is 162360.Finally, LCM of Fractions for 82/55, 45/26, 88/23, 30/744 is 162360.