Least Common Multiple of 114/110, 3273/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/110, 3273/608 quickly i.e. 62187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/110, 3273/608 is 62187.

LCM(114/110, 3273/608) = 62187

LCM of 114/110, 3273/608

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 114/110,3273/608

Given numbers are 114/110,3273/608

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 114,3273

Least Common Multiple of Numerators i.e. LCM of 114,3273 is 124374.

GCF of Denominators means GCF of 110,608 as per the given fractions.

GCF of 110,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,3273

LCM of Fractions 114/110,3273/608 is 62187

3 114, 3273
38, 1091

∴ So the LCM of the given numbers is 3 x 38 x 1091 = 124374

Least Common Multiple of 114,3273 with GCF Formula

Least Common Multiple of 114,3273 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 114,3273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,3273) = 3

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

GCF(114,3273) x common factors =3 x 1 = 3

LCM(114,3273) = ( 114 × 3273 ) / 3

LCM(114,3273) = 373122 / 3

LCM(114,3273) = 124374


Lets's calculate GCF of 110,608

2 110, 608
55, 304

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124374/2

Therefore the LCM of Fractions 114/110,3273/608 is 62187

Greatest Common Factor of 110,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,608 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 110,608 . The biggest common factor number is the GCF number.
So the greatest common factor 110,608 is 2.


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 114/110, 3273/608

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 114/110, 3273/608?

Answer: LCM of Numerators as per given numbers 114/110, 3273/608 is

LCM of Numerators i.e. for 114,3273 is 124374

GCF of denominators i.e. for 110,608 is 2.

Thus, LCM of Fractions is 62187.Finally, LCM of Fractions for 114/110, 3273/608 is 62187.