Least Common Multiple of 345/258, 224/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/258, 224/258 quickly i.e. 77280/258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/258, 224/258 is 77280/258.

LCM(345/258, 224/258) = 77280/258

LCM of 345/258, 224/258

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 345/258,224/258

Given numbers are 345/258,224/258

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 345,224

Least Common Multiple of Numerators i.e. LCM of 345,224 is 77280.

GCF of Denominators means GCF of 258,258 as per the given fractions.

GCF of 258,258 is 258 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,224

LCM of Fractions 345/258,224/258 is 77280/258

Given numbers has no common factors except 1. So, there LCM is their product i.e 77280

Least Common Multiple of 345,224 with GCF Formula

Least Common Multiple of 345,224 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 345,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,224) = 1

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

GCF(345,224) x common factors =1 x 1 = 1

LCM(345,224) = ( 345 × 224 ) / 1

LCM(345,224) = 77280 / 1

LCM(345,224) = 77280


Lets's calculate GCF of 258,258

2 258, 258
3 129, 129
43 43, 43
1, 1

∴ So the GCF of the given numbers is 2 x 3 x 43 = 258

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77280/258

Therefore the LCM of Fractions 345/258,224/258 is 77280/258

Greatest Common Factor of 258,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,258 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 258,258 . The biggest common factor number is the GCF number.
So the greatest common factor 258,258 is 258.


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 345/258, 224/258

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 345/258, 224/258?

Answer: LCM of Numerators as per given numbers 345/258, 224/258 is

LCM of Numerators i.e. for 345,224 is 77280

GCF of denominators i.e. for 258,258 is 258.

Thus, LCM of Fractions is 77280/258.Finally, LCM of Fractions for 345/258, 224/258 is 77280/258.