Least Common Multiple of 575/27, 367/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/27, 367/417 quickly i.e. 211025/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/27, 367/417 is 211025/3.

LCM(575/27, 367/417) = 211025/3

LCM of 575/27, 367/417

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 575/27,367/417

Given numbers are 575/27,367/417

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 575,367

Least Common Multiple of Numerators i.e. LCM of 575,367 is 211025.

GCF of Denominators means GCF of 27,417 as per the given fractions.

GCF of 27,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,367

LCM of Fractions 575/27,367/417 is 211025/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 211025

Least Common Multiple of 575,367 with GCF Formula

Least Common Multiple of 575,367 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 575,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,367) = 1

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

GCF(575,367) x common factors =1 x 1 = 1

LCM(575,367) = ( 575 × 367 ) / 1

LCM(575,367) = 211025 / 1

LCM(575,367) = 211025


Lets's calculate GCF of 27,417

3 27, 417
9, 139

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211025/3

Therefore the LCM of Fractions 575/27,367/417 is 211025/3

Greatest Common Factor of 27,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,417 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 27,417 . The biggest common factor number is the GCF number.
So the greatest common factor 27,417 is 3.


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 575/27, 367/417

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 575/27, 367/417?

Answer: LCM of Numerators as per given numbers 575/27, 367/417 is

LCM of Numerators i.e. for 575,367 is 211025

GCF of denominators i.e. for 27,417 is 3.

Thus, LCM of Fractions is 211025/3.Finally, LCM of Fractions for 575/27, 367/417 is 211025/3.