Least Common Multiple of 51/26, 505/48, 517/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/26, 505/48, 517/552 quickly i.e. 13315335/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/26, 505/48, 517/552 is 13315335/2.

LCM(51/26, 505/48, 517/552) = 13315335/2

LCM of 51/26, 505/48, 517/552

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 51/26,505/48,517/552

Given numbers are 51/26,505/48,517/552

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 51,505,517

Least Common Multiple of Numerators i.e. LCM of 51,505,517 is 13315335.

GCF of Denominators means GCF of 26,48,552 as per the given fractions.

GCF of 26,48,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,505,517

LCM of Fractions 51/26,505/48,517/552 is 13315335/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 13315335

Least Common Multiple of 51,505,517 with GCF Formula

Least Common Multiple of 51,505,517 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 51,505,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,505,517) = 1

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

GCF(51,505,517) x common factors =1 x 1 = 1

LCM(51,505,517) = ( 51 × 505 × 517 ) / 1

LCM(51,505,517) = 13315335 / 1

LCM(51,505,517) = 13315335


Lets's calculate GCF of 26,48,552

2 26, 48, 552
13, 24, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13315335/2

Therefore the LCM of Fractions 51/26,505/48,517/552 is 13315335/2

Greatest Common Factor of 26,48,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,48,552 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 26,48,552 . The biggest common factor number is the GCF number.
So the greatest common factor 26,48,552 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 51/26, 505/48, 517/552

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 51/26, 505/48, 517/552?

Answer: LCM of Numerators as per given numbers 51/26, 505/48, 517/552 is

LCM of Numerators i.e. for 51,505,517 is 13315335

GCF of denominators i.e. for 26,48,552 is 2.

Thus, LCM of Fractions is 13315335/2.Finally, LCM of Fractions for 51/26, 505/48, 517/552 is 13315335/2.