Least Common Multiple of 1545/226, 6612/9316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1545/226, 6612/9316 quickly i.e. 1702590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1545/226, 6612/9316 is 1702590.

LCM(1545/226, 6612/9316) = 1702590

LCM of 1545/226, 6612/9316

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 1545/226,6612/9316

Given numbers are 1545/226,6612/9316

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 1545,6612

Least Common Multiple of Numerators i.e. LCM of 1545,6612 is 3405180.

GCF of Denominators means GCF of 226,9316 as per the given fractions.

GCF of 226,9316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1545,6612

LCM of Fractions 1545/226,6612/9316 is 1702590

3 1545, 6612
515, 2204

∴ So the LCM of the given numbers is 3 x 515 x 2204 = 3405180

Least Common Multiple of 1545,6612 with GCF Formula

Least Common Multiple of 1545,6612 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 1545,6612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1545,6612) = 3

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

GCF(1545,6612) x common factors =3 x 1 = 3

LCM(1545,6612) = ( 1545 × 6612 ) / 3

LCM(1545,6612) = 10215540 / 3

LCM(1545,6612) = 3405180


Lets's calculate GCF of 226,9316

2 226, 9316
113, 4658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3405180/2

Therefore the LCM of Fractions 1545/226,6612/9316 is 1702590

Greatest Common Factor of 226,9316 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,9316 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 9316

List of positive integer factors of 9316 that divides 9316 without a remainder.

1,2,4,17,34,68,137,274,548,2329,4658,9316

Greatest Common Factor

We found the factors 226,9316 . The biggest common factor number is the GCF number.
So the greatest common factor 226,9316 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 1545/226, 6612/9316

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 1545/226, 6612/9316?

Answer: LCM of Numerators as per given numbers 1545/226, 6612/9316 is

LCM of Numerators i.e. for 1545,6612 is 3405180

GCF of denominators i.e. for 226,9316 is 2.

Thus, LCM of Fractions is 1702590.Finally, LCM of Fractions for 1545/226, 6612/9316 is 1702590.