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LCM of 321, 966, 692, 910, 481

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


Find the LCM of 321, 966, 692, 910, 481 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 321, 966, 692, 910, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 321,966,692,910,481

Given numbers are 321,966,692,910,481

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

The LCM of 321,966,692,910,481 is 86010621060.

Find LCM of 321,966,692,910,481 with Prime Factorization


2 321, 966, 692, 910, 481
3 321, 483, 346, 455, 481
7 107, 161, 346, 455, 481
13 107, 23, 346, 65, 481
107, 23, 346, 5, 37

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

2 x 3 x 7 x 13 x 107 x 23 x 346 x 5 x 37 = 86010621060

Therefore, the lowest common multiple of 321,966,692,910,481 is 86010621060.

LCM Formula to Find Lowest Common Multiple of 321,966,692,910,481

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.

321 x 966 x 692 x 910 x 481 = 93923598197520

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.

321 : 1, 3, 107, 321

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

692 : 1, 2, 4, 173, 346, 692

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,966,692,910,481, is 1.

Now, the common factors can be found like this.

321:3x 107

966:2x 3x 7x 23

692:2x 2x 173

910:2x 5x 7x 13

481:13x 37

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 3x 7x 13 = 1092

Therefore, the value for common factors is 1092.

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 = 93923598197520/(1x1092)

LCM = 93923598197520/1092

LCM = 86010621060

Thus, we can understand that the LCM of 321,966,692,910,481 is 86010621060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 321, 966, 692, 910, 481

1. What is the LCM of 321, 966, 692, 910, 481?

Answer: LCM of 321, 966, 692, 910, 481 is 86010621060.

2. How to calculate the LCM of 321, 966, 692, 910, 481?

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 321, 966, 692, 910, 481.

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}.