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LCM of 693, 588, 132, 813, 345

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


Find the LCM of 693, 588, 132, 813, 345 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 693, 588, 132, 813, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,588,132,813,345

Given numbers are 693,588,132,813,345

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

The LCM of 693,588,132,813,345 is 604725660.

Find LCM of 693,588,132,813,345 with Prime Factorization


2 693, 588, 132, 813, 345
2 693, 294, 66, 813, 345
3 693, 147, 33, 813, 345
7 231, 49, 11, 271, 115
11 33, 7, 11, 271, 115
3, 7, 1, 271, 115

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

2 x 2 x 3 x 7 x 11 x 3 x 7 x 1 x 271 x 115 = 604725660

Therefore, the lowest common multiple of 693,588,132,813,345 is 604725660.

LCM Formula to Find Lowest Common Multiple of 693,588,132,813,345

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.

693 x 588 x 132 x 813 x 345 = 15086695765680

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

813 : 1, 3, 271, 813

345 : 1, 3, 5, 15, 23, 69, 115, 345

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,588,132,813,345, is 3.

Now, the common factors can be found like this.

693:3x 3x 7x 11

588:2x 2x 3x 7x 7

132:2x 2x 3x 11

813:3x 271

345:3x 5x 23

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 3x 3x 7x 11 = 8316

Therefore, the value for common factors is 8316.

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 = 15086695765680/(3x8316)

LCM = 15086695765680/24948

LCM = 604725660

Thus, we can understand that the LCM of 693,588,132,813,345 is 604725660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 693, 588, 132, 813, 345

1. What is the LCM of 693, 588, 132, 813, 345?

Answer: LCM of 693, 588, 132, 813, 345 is 604725660.

2. How to calculate the LCM of 693, 588, 132, 813, 345?

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 693, 588, 132, 813, 345.

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}.