Least Common Multiple of 227/73, 517/6949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 227/73, 517/6949 quickly i.e. 117359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 227/73, 517/6949 is 117359.

LCM(227/73, 517/6949) = 117359

LCM of 227/73, 517/6949

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 227/73,517/6949

Given numbers are 227/73,517/6949

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 227,517

Least Common Multiple of Numerators i.e. LCM of 227,517 is 117359.

GCF of Denominators means GCF of 73,6949 as per the given fractions.

GCF of 73,6949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 227,517

LCM of Fractions 227/73,517/6949 is 117359

Given numbers has no common factors except 1. So, there LCM is their product i.e 117359

Least Common Multiple of 227,517 with GCF Formula

Least Common Multiple of 227,517 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 227,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,517) = 1

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

GCF(227,517) x common factors =1 x 1 = 1

LCM(227,517) = ( 227 × 517 ) / 1

LCM(227,517) = 117359 / 1

LCM(227,517) = 117359


Lets's calculate GCF of 73,6949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117359/1

Therefore the LCM of Fractions 227/73,517/6949 is 117359

Greatest Common Factor of 73,6949 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,6949 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 6949

List of positive integer factors of 6949 that divides 6949 without a remainder.

1,6949

Greatest Common Factor

We found the factors 73,6949 . The biggest common factor number is the GCF number.
So the greatest common factor 73,6949 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 227/73, 517/6949

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 227/73, 517/6949?

Answer: LCM of Numerators as per given numbers 227/73, 517/6949 is

LCM of Numerators i.e. for 227,517 is 117359

GCF of denominators i.e. for 73,6949 is 1.

Thus, LCM of Fractions is 117359.Finally, LCM of Fractions for 227/73, 517/6949 is 117359.