Least Common Multiple of 5365/587, 7680/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5365/587, 7680/223 quickly i.e. 8240640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5365/587, 7680/223 is 8240640.

LCM(5365/587, 7680/223) = 8240640

LCM of 5365/587, 7680/223

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 5365/587,7680/223

Given numbers are 5365/587,7680/223

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 5365,7680

Least Common Multiple of Numerators i.e. LCM of 5365,7680 is 8240640.

GCF of Denominators means GCF of 587,223 as per the given fractions.

GCF of 587,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5365,7680

LCM of Fractions 5365/587,7680/223 is 8240640

5 5365, 7680
1073, 1536

∴ So the LCM of the given numbers is 5 x 1073 x 1536 = 8240640

Least Common Multiple of 5365,7680 with GCF Formula

Least Common Multiple of 5365,7680 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 5365,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5365,7680) = 5

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

GCF(5365,7680) x common factors =5 x 1 = 5

LCM(5365,7680) = ( 5365 × 7680 ) / 5

LCM(5365,7680) = 41203200 / 5

LCM(5365,7680) = 8240640


Lets's calculate GCF of 587,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8240640/1

Therefore the LCM of Fractions 5365/587,7680/223 is 8240640

Greatest Common Factor of 587,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,223 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 587,223 . The biggest common factor number is the GCF number.
So the greatest common factor 587,223 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 5365/587, 7680/223

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 5365/587, 7680/223?

Answer: LCM of Numerators as per given numbers 5365/587, 7680/223 is

LCM of Numerators i.e. for 5365,7680 is 8240640

GCF of denominators i.e. for 587,223 is 1.

Thus, LCM of Fractions is 8240640.Finally, LCM of Fractions for 5365/587, 7680/223 is 8240640.