Least Common Multiple of 398/44, 527/23, 339/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 398/44, 527/23, 339/65 quickly i.e. 71103894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/44, 527/23, 339/65 is 71103894.

LCM(398/44, 527/23, 339/65) = 71103894

LCM of 398/44, 527/23, 339/65

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 398/44,527/23,339/65

Given numbers are 398/44,527/23,339/65

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 398,527,339

Least Common Multiple of Numerators i.e. LCM of 398,527,339 is 71103894.

GCF of Denominators means GCF of 44,23,65 as per the given fractions.

GCF of 44,23,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,527,339

LCM of Fractions 398/44,527/23,339/65 is 71103894

Given numbers has no common factors except 1. So, there LCM is their product i.e 71103894

Least Common Multiple of 398,527,339 with GCF Formula

Least Common Multiple of 398,527,339 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 398,527,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,527,339) = 1

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

GCF(398,527,339) x common factors =1 x 1 = 1

LCM(398,527,339) = ( 398 × 527 × 339 ) / 1

LCM(398,527,339) = 71103894 / 1

LCM(398,527,339) = 71103894


Lets's calculate GCF of 44,23,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71103894/1

Therefore the LCM of Fractions 398/44,527/23,339/65 is 71103894

Greatest Common Factor of 44,23,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,23,65 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 23

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

1,23

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 44,23,65 . The biggest common factor number is the GCF number.
So the greatest common factor 44,23,65 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 398/44, 527/23, 339/65

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 398/44, 527/23, 339/65?

Answer: LCM of Numerators as per given numbers 398/44, 527/23, 339/65 is

LCM of Numerators i.e. for 398,527,339 is 71103894

GCF of denominators i.e. for 44,23,65 is 1.

Thus, LCM of Fractions is 71103894.Finally, LCM of Fractions for 398/44, 527/23, 339/65 is 71103894.