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LCM of 403, 376, 480, 582, 812

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


Find the LCM of 403, 376, 480, 582, 812 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 403, 376, 480, 582, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,376,480,582,812

Given numbers are 403,376,480,582,812

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

The LCM of 403,376,480,582,812 is 179024270880.

Find LCM of 403,376,480,582,812 with Prime Factorization


2 403, 376, 480, 582, 812
2 403, 188, 240, 291, 406
2 403, 94, 120, 291, 203
3 403, 47, 60, 291, 203
403, 47, 20, 97, 203

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

2 x 2 x 2 x 3 x 403 x 47 x 20 x 97 x 203 = 179024270880

Therefore, the lowest common multiple of 403,376,480,582,812 is 179024270880.

LCM Formula to Find Lowest Common Multiple of 403,376,480,582,812

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.

403 x 376 x 480 x 582 x 812 = 34372660008960

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.

403 : 1, 13, 31, 403

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

582 : 1, 2, 3, 6, 97, 194, 291, 582

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,376,480,582,812, is 1.

Now, the common factors can be found like this.

403:13x 31

376:2x 2x 2x 47

480:2x 2x 2x 2x 2x 3x 5

582:2x 3x 97

812:2x 2x 7x 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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 34372660008960/(1x192)

LCM = 34372660008960/192

LCM = 179024270880

Thus, we can understand that the LCM of 403,376,480,582,812 is 179024270880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 376, 480, 582, 812

1. What is the LCM of 403, 376, 480, 582, 812?

Answer: LCM of 403, 376, 480, 582, 812 is 179024270880.

2. How to calculate the LCM of 403, 376, 480, 582, 812?

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 403, 376, 480, 582, 812.

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}.