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LCM of 435, 460, 928

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


Find the LCM of 435, 460, 928 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 435, 460, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 435,460,928

Given numbers are 435,460,928

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

The LCM of 435,460,928 is 320160.

Find LCM of 435,460,928 with Prime Factorization


2 435, 460, 928
2 435, 230, 464
5 435, 115, 232
29 87, 23, 232
3, 23, 8

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

2 x 2 x 5 x 29 x 3 x 23 x 8 = 320160

Therefore, the lowest common multiple of 435,460,928 is 320160.

LCM Formula to Find Lowest Common Multiple of 435,460,928

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.

435 x 460 x 928 = 185692800

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,460,928, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

460:2x 2x 5x 23

928:2x 2x 2x 2x 2x 29

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

2x 2x 5x 29 = 580

Therefore, the value for common factors is 580.

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 = 185692800/(1x580)

LCM = 185692800/580

LCM = 320160

Thus, we can understand that the LCM of 435,460,928 is 320160.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 435, 460, 928

1. What is the LCM of 435, 460, 928?

Answer: LCM of 435, 460, 928 is 320160.

2. How to calculate the LCM of 435, 460, 928?

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 435, 460, 928.

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}.