Least Common Multiple of 1/17, 77/419, 15/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/17, 77/419, 15/580 quickly i.e. 1155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/17, 77/419, 15/580 is 1155.

LCM(1/17, 77/419, 15/580) = 1155

LCM of 1/17, 77/419, 15/580

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 1/17,77/419,15/580

Given numbers are 1/17,77/419,15/580

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 1,77,15

Least Common Multiple of Numerators i.e. LCM of 1,77,15 is 1155.

GCF of Denominators means GCF of 17,419,580 as per the given fractions.

GCF of 17,419,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,77,15

LCM of Fractions 1/17,77/419,15/580 is 1155

Given numbers has no common factors except 1. So, there LCM is their product i.e 1155

Least Common Multiple of 1,77,15 with GCF Formula

Least Common Multiple of 1,77,15 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 1,77,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,77,15) = 1

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

GCF(1,77,15) x common factors =1 x 1 = 1

LCM(1,77,15) = ( 1 × 77 × 15 ) / 1

LCM(1,77,15) = 1155 / 1

LCM(1,77,15) = 1155


Lets's calculate GCF of 17,419,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1155/1

Therefore the LCM of Fractions 1/17,77/419,15/580 is 1155

Greatest Common Factor of 17,419,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,419,580 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 17,419,580 . The biggest common factor number is the GCF number.
So the greatest common factor 17,419,580 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 1/17, 77/419, 15/580

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 1/17, 77/419, 15/580?

Answer: LCM of Numerators as per given numbers 1/17, 77/419, 15/580 is

LCM of Numerators i.e. for 1,77,15 is 1155

GCF of denominators i.e. for 17,419,580 is 1.

Thus, LCM of Fractions is 1155.Finally, LCM of Fractions for 1/17, 77/419, 15/580 is 1155.