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LCM of 572, 864, 182, 136, 425

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


Find the LCM of 572, 864, 182, 136, 425 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 572, 864, 182, 136, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,864,182,136,425

Given numbers are 572,864,182,136,425

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

The LCM of 572,864,182,136,425 is 367567200.

Find LCM of 572,864,182,136,425 with Prime Factorization


2 572, 864, 182, 136, 425
2 286, 432, 91, 68, 425
2 143, 216, 91, 34, 425
13 143, 108, 91, 17, 425
17 11, 108, 7, 17, 425
11, 108, 7, 1, 25

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

2 x 2 x 2 x 13 x 17 x 11 x 108 x 7 x 1 x 25 = 367567200

Therefore, the lowest common multiple of 572,864,182,136,425 is 367567200.

LCM Formula to Find Lowest Common Multiple of 572,864,182,136,425

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.

572 x 864 x 182 x 136 x 425 = 5198870476800

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

182 : 1, 2, 7, 13, 14, 26, 91, 182

136 : 1, 2, 4, 8, 17, 34, 68, 136

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,864,182,136,425, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

864:2x 2x 2x 2x 2x 3x 3x 3

182:2x 7x 13

136:2x 2x 2x 17

425:5x 5x 17

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 2x 13x 17 = 14144

Therefore, the value for common factors is 14144.

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 = 5198870476800/(1x14144)

LCM = 5198870476800/14144

LCM = 367567200

Thus, we can understand that the LCM of 572,864,182,136,425 is 367567200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 864, 182, 136, 425

1. What is the LCM of 572, 864, 182, 136, 425?

Answer: LCM of 572, 864, 182, 136, 425 is 367567200.

2. How to calculate the LCM of 572, 864, 182, 136, 425?

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 572, 864, 182, 136, 425.

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}.