Least Common Multiple of 80/487, 9417/4205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/487, 9417/4205 quickly i.e. 753360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/487, 9417/4205 is 753360.

LCM(80/487, 9417/4205) = 753360

LCM of 80/487, 9417/4205

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 80/487,9417/4205

Given numbers are 80/487,9417/4205

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 80,9417

Least Common Multiple of Numerators i.e. LCM of 80,9417 is 753360.

GCF of Denominators means GCF of 487,4205 as per the given fractions.

GCF of 487,4205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,9417

LCM of Fractions 80/487,9417/4205 is 753360

Given numbers has no common factors except 1. So, there LCM is their product i.e 753360

Least Common Multiple of 80,9417 with GCF Formula

Least Common Multiple of 80,9417 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 80,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,9417) = 1

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

GCF(80,9417) x common factors =1 x 1 = 1

LCM(80,9417) = ( 80 × 9417 ) / 1

LCM(80,9417) = 753360 / 1

LCM(80,9417) = 753360


Lets's calculate GCF of 487,4205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753360/1

Therefore the LCM of Fractions 80/487,9417/4205 is 753360

Greatest Common Factor of 487,4205 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,4205 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1,5,29,145,841,4205

Greatest Common Factor

We found the factors 487,4205 . The biggest common factor number is the GCF number.
So the greatest common factor 487,4205 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/487, 9417/4205

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 80/487, 9417/4205?

Answer: LCM of Numerators as per given numbers 80/487, 9417/4205 is

LCM of Numerators i.e. for 80,9417 is 753360

GCF of denominators i.e. for 487,4205 is 1.

Thus, LCM of Fractions is 753360.Finally, LCM of Fractions for 80/487, 9417/4205 is 753360.