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LCM of 4313, 5448

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 4313, 5448 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 4313, 5448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4313,5448

Given numbers are 4313,5448

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 4313,5448 is 103512.

Find LCM of 4313,5448 with Prime Factorization


227 4313, 5448
19, 24

Multiply the prime numbers at the bottom and the left side.

227 x 19 x 24 = 103512

Therefore, the lowest common multiple of 4313,5448 is 103512.

LCM Formula to Find Lowest Common Multiple of 4313,5448

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

4313 x 5448 = 23497224

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

4313 : 1, 19, 227, 4313

5448 : 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448

227 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4313,5448, is 227.

Now, the common factors can be found like this.

4313:19x 227

5448:2x 2x 2x 3x 227

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 23497224/(227x1)

LCM = 23497224/227

LCM = 103512

Thus, we can understand that the LCM of 4313,5448 is 103512.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4313, 5448

1. What is the LCM of 4313, 5448?

Answer: LCM of 4313, 5448 is 103512.

2. How to calculate the LCM of 4313, 5448?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 4313, 5448.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.