Least Common Multiple of 87/665, 23/519, 301/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/665, 23/519, 301/228 quickly i.e. 602301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/665, 23/519, 301/228 is 602301.

LCM(87/665, 23/519, 301/228) = 602301

LCM of 87/665, 23/519, 301/228

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 87/665,23/519,301/228

Given numbers are 87/665,23/519,301/228

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 87,23,301

Least Common Multiple of Numerators i.e. LCM of 87,23,301 is 602301.

GCF of Denominators means GCF of 665,519,228 as per the given fractions.

GCF of 665,519,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,23,301

LCM of Fractions 87/665,23/519,301/228 is 602301

Given numbers has no common factors except 1. So, there LCM is their product i.e 602301

Least Common Multiple of 87,23,301 with GCF Formula

Least Common Multiple of 87,23,301 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 87,23,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,23,301) = 1

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

GCF(87,23,301) x common factors =1 x 1 = 1

LCM(87,23,301) = ( 87 × 23 × 301 ) / 1

LCM(87,23,301) = 602301 / 1

LCM(87,23,301) = 602301


Lets's calculate GCF of 665,519,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 602301/1

Therefore the LCM of Fractions 87/665,23/519,301/228 is 602301

Greatest Common Factor of 665,519,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,519,228 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 665,519,228 . The biggest common factor number is the GCF number.
So the greatest common factor 665,519,228 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 87/665, 23/519, 301/228

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 87/665, 23/519, 301/228?

Answer: LCM of Numerators as per given numbers 87/665, 23/519, 301/228 is

LCM of Numerators i.e. for 87,23,301 is 602301

GCF of denominators i.e. for 665,519,228 is 1.

Thus, LCM of Fractions is 602301.Finally, LCM of Fractions for 87/665, 23/519, 301/228 is 602301.