Least Common Multiple of 36/224, 378/614, 617/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/224, 378/614, 617/254 quickly i.e. 233226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/224, 378/614, 617/254 is 233226.

LCM(36/224, 378/614, 617/254) = 233226

LCM of 36/224, 378/614, 617/254

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 36/224,378/614,617/254

Given numbers are 36/224,378/614,617/254

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 36,378,617

Least Common Multiple of Numerators i.e. LCM of 36,378,617 is 466452.

GCF of Denominators means GCF of 224,614,254 as per the given fractions.

GCF of 224,614,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,378,617

LCM of Fractions 36/224,378/614,617/254 is 233226

2 36, 378, 617
3 18, 189, 617
3 6, 63, 617
2, 21, 617

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 21 x 617 = 466452

Least Common Multiple of 36,378,617 with GCF Formula

Least Common Multiple of 36,378,617 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 36,378,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,378,617) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(36,378,617) x common factors =1 x 18 = 18

LCM(36,378,617) = ( 36 × 378 × 617 ) / 18

LCM(36,378,617) = 8396136 / 18

LCM(36,378,617) = 466452


Lets's calculate GCF of 224,614,254

2 224, 614, 254
112, 307, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 466452/2

Therefore the LCM of Fractions 36/224,378/614,617/254 is 233226

Greatest Common Factor of 224,614,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,614,254 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 224,614,254 . The biggest common factor number is the GCF number.
So the greatest common factor 224,614,254 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 36/224, 378/614, 617/254

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 36/224, 378/614, 617/254?

Answer: LCM of Numerators as per given numbers 36/224, 378/614, 617/254 is

LCM of Numerators i.e. for 36,378,617 is 466452

GCF of denominators i.e. for 224,614,254 is 2.

Thus, LCM of Fractions is 233226.Finally, LCM of Fractions for 36/224, 378/614, 617/254 is 233226.