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LCM of 468, 576, 396, 706, 785

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


Find the LCM of 468, 576, 396, 706, 785 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 468, 576, 396, 706, 785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,576,396,706,785

Given numbers are 468,576,396,706,785

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

The LCM of 468,576,396,706,785 is 22824584640.

Find LCM of 468,576,396,706,785 with Prime Factorization


2 468, 576, 396, 706, 785
2 234, 288, 198, 353, 785
3 117, 144, 99, 353, 785
3 39, 48, 33, 353, 785
13, 16, 11, 353, 785

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

2 x 2 x 3 x 3 x 13 x 16 x 11 x 353 x 785 = 22824584640

Therefore, the lowest common multiple of 468,576,396,706,785 is 22824584640.

LCM Formula to Find Lowest Common Multiple of 468,576,396,706,785

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.

468 x 576 x 396 x 706 x 785 = 59161323386880

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

706 : 1, 2, 353, 706

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,576,396,706,785, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

576:2x 2x 2x 2x 2x 2x 3x 3

396:2x 2x 3x 3x 11

706:2x 353

785:5x 157

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 2x 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 59161323386880/(1x2592)

LCM = 59161323386880/2592

LCM = 22824584640

Thus, we can understand that the LCM of 468,576,396,706,785 is 22824584640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 576, 396, 706, 785

1. What is the LCM of 468, 576, 396, 706, 785?

Answer: LCM of 468, 576, 396, 706, 785 is 22824584640.

2. How to calculate the LCM of 468, 576, 396, 706, 785?

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 468, 576, 396, 706, 785.

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}.