Least Common Multiple of 17/80, 11/11, 63/54, 55/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/80, 11/11, 63/54, 55/468 quickly i.e. 58905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/80, 11/11, 63/54, 55/468 is 58905.

LCM(17/80, 11/11, 63/54, 55/468) = 58905

LCM of 17/80, 11/11, 63/54, 55/468

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 17/80,11/11,63/54,55/468

Given numbers are 17/80,11/11,63/54,55/468

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 17,11,63,55

Least Common Multiple of Numerators i.e. LCM of 17,11,63,55 is 58905.

GCF of Denominators means GCF of 80,11,54,468 as per the given fractions.

GCF of 80,11,54,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,11,63,55

LCM of Fractions 17/80,11/11,63/54,55/468 is 58905

11 17, 11, 63, 55
17, 1, 63, 5

∴ So the LCM of the given numbers is 11 x 17 x 1 x 63 x 5 = 58905

Least Common Multiple of 17,11,63,55 with GCF Formula

Least Common Multiple of 17,11,63,55 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 17,11,63,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,11,63,55) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(17,11,63,55) x common factors =1 x 11 = 11

LCM(17,11,63,55) = ( 17 × 11 × 63 × 55 ) / 11

LCM(17,11,63,55) = 647955 / 11

LCM(17,11,63,55) = 58905


Lets's calculate GCF of 80,11,54,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58905/1

Therefore the LCM of Fractions 17/80,11/11,63/54,55/468 is 58905

Greatest Common Factor of 80,11,54,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,11,54,468 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 80,11,54,468 . The biggest common factor number is the GCF number.
So the greatest common factor 80,11,54,468 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 17/80, 11/11, 63/54, 55/468

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 17/80, 11/11, 63/54, 55/468?

Answer: LCM of Numerators as per given numbers 17/80, 11/11, 63/54, 55/468 is

LCM of Numerators i.e. for 17,11,63,55 is 58905

GCF of denominators i.e. for 80,11,54,468 is 1.

Thus, LCM of Fractions is 58905.Finally, LCM of Fractions for 17/80, 11/11, 63/54, 55/468 is 58905.