Least Common Multiple of 15/58, 95/26, 999/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/58, 95/26, 999/792 quickly i.e. 94905/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/58, 95/26, 999/792 is 94905/2.

LCM(15/58, 95/26, 999/792) = 94905/2

LCM of 15/58, 95/26, 999/792

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 15/58,95/26,999/792

Given numbers are 15/58,95/26,999/792

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 15,95,999

Least Common Multiple of Numerators i.e. LCM of 15,95,999 is 94905.

GCF of Denominators means GCF of 58,26,792 as per the given fractions.

GCF of 58,26,792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,95,999

LCM of Fractions 15/58,95/26,999/792 is 94905/2

3 15, 95, 999
5 5, 95, 333
1, 19, 333

∴ So the LCM of the given numbers is 3 x 5 x 1 x 19 x 333 = 94905

Least Common Multiple of 15,95,999 with GCF Formula

Least Common Multiple of 15,95,999 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 15,95,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,95,999) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,95,999) x common factors =1 x 15 = 15

LCM(15,95,999) = ( 15 × 95 × 999 ) / 15

LCM(15,95,999) = 1423575 / 15

LCM(15,95,999) = 94905


Lets's calculate GCF of 58,26,792

2 58, 26, 792
29, 13, 396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94905/2

Therefore the LCM of Fractions 15/58,95/26,999/792 is 94905/2

Greatest Common Factor of 58,26,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,26,792 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 26

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

1,2,13,26

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 58,26,792 . The biggest common factor number is the GCF number.
So the greatest common factor 58,26,792 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/58, 95/26, 999/792

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 15/58, 95/26, 999/792?

Answer: LCM of Numerators as per given numbers 15/58, 95/26, 999/792 is

LCM of Numerators i.e. for 15,95,999 is 94905

GCF of denominators i.e. for 58,26,792 is 2.

Thus, LCM of Fractions is 94905/2.Finally, LCM of Fractions for 15/58, 95/26, 999/792 is 94905/2.