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LCM of 814, 102, 585, 148, 467

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


Find the LCM of 814, 102, 585, 148, 467 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 814, 102, 585, 148, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,102,585,148,467

Given numbers are 814,102,585,148,467

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

The LCM of 814,102,585,148,467 is 7560944820.

Find LCM of 814,102,585,148,467 with Prime Factorization


2 814, 102, 585, 148, 467
3 407, 51, 585, 74, 467
37 407, 17, 195, 74, 467
11, 17, 195, 2, 467

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

2 x 3 x 37 x 11 x 17 x 195 x 2 x 467 = 7560944820

Therefore, the lowest common multiple of 814,102,585,148,467 is 7560944820.

LCM Formula to Find Lowest Common Multiple of 814,102,585,148,467

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.

814 x 102 x 585 x 148 x 467 = 3357059500080

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

102 : 1, 2, 3, 6, 17, 34, 51, 102

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

148 : 1, 2, 4, 37, 74, 148

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,102,585,148,467, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

102:2x 3x 17

585:3x 3x 5x 13

148:2x 2x 37

467:467

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 37 = 444

Therefore, the value for common factors is 444.

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 = 3357059500080/(1x444)

LCM = 3357059500080/444

LCM = 7560944820

Thus, we can understand that the LCM of 814,102,585,148,467 is 7560944820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 102, 585, 148, 467

1. What is the LCM of 814, 102, 585, 148, 467?

Answer: LCM of 814, 102, 585, 148, 467 is 7560944820.

2. How to calculate the LCM of 814, 102, 585, 148, 467?

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 814, 102, 585, 148, 467.

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}.