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LCM of 805, 258, 964, 767, 635

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


Find the LCM of 805, 258, 964, 767, 635 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 805, 258, 964, 767, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,258,964,767,635

Given numbers are 805,258,964,767,635

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

The LCM of 805,258,964,767,635 is 9751281851220.

Find LCM of 805,258,964,767,635 with Prime Factorization


2 805, 258, 964, 767, 635
5 805, 129, 482, 767, 635
161, 129, 482, 767, 127

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

2 x 5 x 161 x 129 x 482 x 767 x 127 = 9751281851220

Therefore, the lowest common multiple of 805,258,964,767,635 is 9751281851220.

LCM Formula to Find Lowest Common Multiple of 805,258,964,767,635

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.

805 x 258 x 964 x 767 x 635 = 97512818512200

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

258 : 1, 2, 3, 6, 43, 86, 129, 258

964 : 1, 2, 4, 241, 482, 964

767 : 1, 13, 59, 767

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,258,964,767,635, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

258:2x 3x 43

964:2x 2x 241

767:13x 59

635:5x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 97512818512200/(1x10)

LCM = 97512818512200/10

LCM = 9751281851220

Thus, we can understand that the LCM of 805,258,964,767,635 is 9751281851220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 258, 964, 767, 635

1. What is the LCM of 805, 258, 964, 767, 635?

Answer: LCM of 805, 258, 964, 767, 635 is 9751281851220.

2. How to calculate the LCM of 805, 258, 964, 767, 635?

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 805, 258, 964, 767, 635.

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}.