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LCM of 362, 448, 285

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


Find the LCM of 362, 448, 285 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 362, 448, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,448,285

Given numbers are 362,448,285

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

The LCM of 362,448,285 is 23110080.

Find LCM of 362,448,285 with Prime Factorization


2 362, 448, 285
181, 224, 285

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

2 x 181 x 224 x 285 = 23110080

Therefore, the lowest common multiple of 362,448,285 is 23110080.

LCM Formula to Find Lowest Common Multiple of 362,448,285

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.

362 x 448 x 285 = 46220160

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.

362 : 1, 2, 181, 362

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,448,285, is 1.

Now, the common factors can be found like this.

362:2x 181

448:2x 2x 2x 2x 2x 2x 7

285:3x 5x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 46220160/(1x2)

LCM = 46220160/2

LCM = 23110080

Thus, we can understand that the LCM of 362,448,285 is 23110080.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 362, 448, 285

1. What is the LCM of 362, 448, 285?

Answer: LCM of 362, 448, 285 is 23110080.

2. How to calculate the LCM of 362, 448, 285?

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 362, 448, 285.

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}.