Least Common Multiple of 86/368, 45/221, 407/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/368, 45/221, 407/267 quickly i.e. 1575090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/368, 45/221, 407/267 is 1575090.

LCM(86/368, 45/221, 407/267) = 1575090

LCM of 86/368, 45/221, 407/267

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 86/368,45/221,407/267

Given numbers are 86/368,45/221,407/267

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 86,45,407

Least Common Multiple of Numerators i.e. LCM of 86,45,407 is 1575090.

GCF of Denominators means GCF of 368,221,267 as per the given fractions.

GCF of 368,221,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,45,407

LCM of Fractions 86/368,45/221,407/267 is 1575090

Given numbers has no common factors except 1. So, there LCM is their product i.e 1575090

Least Common Multiple of 86,45,407 with GCF Formula

Least Common Multiple of 86,45,407 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 86,45,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,45,407) = 1

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

GCF(86,45,407) x common factors =1 x 1 = 1

LCM(86,45,407) = ( 86 × 45 × 407 ) / 1

LCM(86,45,407) = 1575090 / 1

LCM(86,45,407) = 1575090


Lets's calculate GCF of 368,221,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1575090/1

Therefore the LCM of Fractions 86/368,45/221,407/267 is 1575090

Greatest Common Factor of 368,221,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,221,267 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 368,221,267 . The biggest common factor number is the GCF number.
So the greatest common factor 368,221,267 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 86/368, 45/221, 407/267

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 86/368, 45/221, 407/267?

Answer: LCM of Numerators as per given numbers 86/368, 45/221, 407/267 is

LCM of Numerators i.e. for 86,45,407 is 1575090

GCF of denominators i.e. for 368,221,267 is 1.

Thus, LCM of Fractions is 1575090.Finally, LCM of Fractions for 86/368, 45/221, 407/267 is 1575090.