Least Common Multiple of 223/114, 1917/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/114, 1917/249 quickly i.e. 142497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/114, 1917/249 is 142497.

LCM(223/114, 1917/249) = 142497

LCM of 223/114, 1917/249

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 223/114,1917/249

Given numbers are 223/114,1917/249

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 223,1917

Least Common Multiple of Numerators i.e. LCM of 223,1917 is 427491.

GCF of Denominators means GCF of 114,249 as per the given fractions.

GCF of 114,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,1917

LCM of Fractions 223/114,1917/249 is 142497

Given numbers has no common factors except 1. So, there LCM is their product i.e 427491

Least Common Multiple of 223,1917 with GCF Formula

Least Common Multiple of 223,1917 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 223,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,1917) = 1

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

GCF(223,1917) x common factors =1 x 1 = 1

LCM(223,1917) = ( 223 × 1917 ) / 1

LCM(223,1917) = 427491 / 1

LCM(223,1917) = 427491


Lets's calculate GCF of 114,249

3 114, 249
38, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427491/3

Therefore the LCM of Fractions 223/114,1917/249 is 142497

Greatest Common Factor of 114,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,249 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 114,249 . The biggest common factor number is the GCF number.
So the greatest common factor 114,249 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 223/114, 1917/249

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 223/114, 1917/249?

Answer: LCM of Numerators as per given numbers 223/114, 1917/249 is

LCM of Numerators i.e. for 223,1917 is 427491

GCF of denominators i.e. for 114,249 is 3.

Thus, LCM of Fractions is 142497.Finally, LCM of Fractions for 223/114, 1917/249 is 142497.