Least Common Multiple of 89/24, 139/26, 469/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/24, 139/26, 469/418 quickly i.e. 5801999/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/24, 139/26, 469/418 is 5801999/2.

LCM(89/24, 139/26, 469/418) = 5801999/2

LCM of 89/24, 139/26, 469/418

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 89/24,139/26,469/418

Given numbers are 89/24,139/26,469/418

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 89,139,469

Least Common Multiple of Numerators i.e. LCM of 89,139,469 is 5801999.

GCF of Denominators means GCF of 24,26,418 as per the given fractions.

GCF of 24,26,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,139,469

LCM of Fractions 89/24,139/26,469/418 is 5801999/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5801999

Least Common Multiple of 89,139,469 with GCF Formula

Least Common Multiple of 89,139,469 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 89,139,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,139,469) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,139,469) x common factors =1 x 1 = 1

LCM(89,139,469) = ( 89 × 139 × 469 ) / 1

LCM(89,139,469) = 5801999 / 1

LCM(89,139,469) = 5801999


Lets's calculate GCF of 24,26,418

2 24, 26, 418
12, 13, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5801999/2

Therefore the LCM of Fractions 89/24,139/26,469/418 is 5801999/2

Greatest Common Factor of 24,26,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,26,418 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 26

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

1,2,13,26

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 24,26,418 . The biggest common factor number is the GCF number.
So the greatest common factor 24,26,418 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 89/24, 139/26, 469/418

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 89/24, 139/26, 469/418?

Answer: LCM of Numerators as per given numbers 89/24, 139/26, 469/418 is

LCM of Numerators i.e. for 89,139,469 is 5801999

GCF of denominators i.e. for 24,26,418 is 2.

Thus, LCM of Fractions is 5801999/2.Finally, LCM of Fractions for 89/24, 139/26, 469/418 is 5801999/2.