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LCM of 770, 863, 417, 812, 704

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


Find the LCM of 770, 863, 417, 812, 704 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 770, 863, 417, 812, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,863,417,812,704

Given numbers are 770,863,417,812,704

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

The LCM of 770,863,417,812,704 is 257149421760.

Find LCM of 770,863,417,812,704 with Prime Factorization


2 770, 863, 417, 812, 704
2 385, 863, 417, 406, 352
7 385, 863, 417, 203, 176
11 55, 863, 417, 29, 176
5, 863, 417, 29, 16

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

2 x 2 x 7 x 11 x 5 x 863 x 417 x 29 x 16 = 257149421760

Therefore, the lowest common multiple of 770,863,417,812,704 is 257149421760.

LCM Formula to Find Lowest Common Multiple of 770,863,417,812,704

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.

770 x 863 x 417 x 812 x 704 = 158404043804160

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

863 : 1, 863

417 : 1, 3, 139, 417

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,863,417,812,704, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

863:863

417:3x 139

812:2x 2x 7x 29

704:2x 2x 2x 2x 2x 2x 11

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 7x 11 = 616

Therefore, the value for common factors is 616.

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 = 158404043804160/(1x616)

LCM = 158404043804160/616

LCM = 257149421760

Thus, we can understand that the LCM of 770,863,417,812,704 is 257149421760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 863, 417, 812, 704

1. What is the LCM of 770, 863, 417, 812, 704?

Answer: LCM of 770, 863, 417, 812, 704 is 257149421760.

2. How to calculate the LCM of 770, 863, 417, 812, 704?

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 770, 863, 417, 812, 704.

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}.