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LCM of 432, 694, 376, 175, 987

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


Find the LCM of 432, 694, 376, 175, 987 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 432, 694, 376, 175, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,694,376,175,987

Given numbers are 432,694,376,175,987

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

The LCM of 432,694,376,175,987 is 1232960400.

Find LCM of 432,694,376,175,987 with Prime Factorization


2 432, 694, 376, 175, 987
2 216, 347, 188, 175, 987
2 108, 347, 94, 175, 987
3 54, 347, 47, 175, 987
7 18, 347, 47, 175, 329
47 18, 347, 47, 25, 47
18, 347, 1, 25, 1

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

2 x 2 x 2 x 3 x 7 x 47 x 18 x 347 x 1 x 25 x 1 = 1232960400

Therefore, the lowest common multiple of 432,694,376,175,987 is 1232960400.

LCM Formula to Find Lowest Common Multiple of 432,694,376,175,987

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.

432 x 694 x 376 x 175 x 987 = 19470910636800

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.

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

694 : 1, 2, 347, 694

376 : 1, 2, 4, 8, 47, 94, 188, 376

175 : 1, 5, 7, 25, 35, 175

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,694,376,175,987, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

694:2x 347

376:2x 2x 2x 47

175:5x 5x 7

987:3x 7x 47

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 3x 7x 47 = 15792

Therefore, the value for common factors is 15792.

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 = 19470910636800/(1x15792)

LCM = 19470910636800/15792

LCM = 1232960400

Thus, we can understand that the LCM of 432,694,376,175,987 is 1232960400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 694, 376, 175, 987

1. What is the LCM of 432, 694, 376, 175, 987?

Answer: LCM of 432, 694, 376, 175, 987 is 1232960400.

2. How to calculate the LCM of 432, 694, 376, 175, 987?

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 432, 694, 376, 175, 987.

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}.