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LCM of 495, 733, 582, 690, 575

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


Find the LCM of 495, 733, 582, 690, 575 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 495, 733, 582, 690, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 495,733,582,690,575

Given numbers are 495,733,582,690,575

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

The LCM of 495,733,582,690,575 is 8094848850.

Find LCM of 495,733,582,690,575 with Prime Factorization


2 495, 733, 582, 690, 575
3 495, 733, 291, 345, 575
5 165, 733, 97, 115, 575
23 33, 733, 97, 23, 115
33, 733, 97, 1, 5

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

2 x 3 x 5 x 23 x 33 x 733 x 97 x 1 x 5 = 8094848850

Therefore, the lowest common multiple of 495,733,582,690,575 is 8094848850.

LCM Formula to Find Lowest Common Multiple of 495,733,582,690,575

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.

495 x 733 x 582 x 690 x 575 = 83781685597500

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

733 : 1, 733

582 : 1, 2, 3, 6, 97, 194, 291, 582

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,733,582,690,575, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

733:733

582:2x 3x 97

690:2x 3x 5x 23

575:5x 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 3x 3x 5x 5x 23 = 10350

Therefore, the value for common factors is 10350.

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 = 83781685597500/(1x10350)

LCM = 83781685597500/10350

LCM = 8094848850

Thus, we can understand that the LCM of 495,733,582,690,575 is 8094848850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 495, 733, 582, 690, 575

1. What is the LCM of 495, 733, 582, 690, 575?

Answer: LCM of 495, 733, 582, 690, 575 is 8094848850.

2. How to calculate the LCM of 495, 733, 582, 690, 575?

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 495, 733, 582, 690, 575.

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}.