Least Common Multiple of 17/495, 5666/7780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/495, 5666/7780 quickly i.e. 96322/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/495, 5666/7780 is 96322/5.

LCM(17/495, 5666/7780) = 96322/5

LCM of 17/495, 5666/7780

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 17/495,5666/7780

Given numbers are 17/495,5666/7780

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 17,5666

Least Common Multiple of Numerators i.e. LCM of 17,5666 is 96322.

GCF of Denominators means GCF of 495,7780 as per the given fractions.

GCF of 495,7780 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,5666

LCM of Fractions 17/495,5666/7780 is 96322/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 96322

Least Common Multiple of 17,5666 with GCF Formula

Least Common Multiple of 17,5666 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 17,5666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,5666) = 1

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

GCF(17,5666) x common factors =1 x 1 = 1

LCM(17,5666) = ( 17 × 5666 ) / 1

LCM(17,5666) = 96322 / 1

LCM(17,5666) = 96322


Lets's calculate GCF of 495,7780

5 495, 7780
99, 1556

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96322/5

Therefore the LCM of Fractions 17/495,5666/7780 is 96322/5

Greatest Common Factor of 495,7780 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,7780 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 7780

List of positive integer factors of 7780 that divides 7780 without a remainder.

1,2,4,5,10,20,389,778,1556,1945,3890,7780

Greatest Common Factor

We found the factors 495,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 495,7780 is 5.


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 17/495, 5666/7780

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 17/495, 5666/7780?

Answer: LCM of Numerators as per given numbers 17/495, 5666/7780 is

LCM of Numerators i.e. for 17,5666 is 96322

GCF of denominators i.e. for 495,7780 is 5.

Thus, LCM of Fractions is 96322/5.Finally, LCM of Fractions for 17/495, 5666/7780 is 96322/5.