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LCM of 564, 507, 958, 958, 655

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


Find the LCM of 564, 507, 958, 958, 655 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 564, 507, 958, 958, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,507,958,958,655

Given numbers are 564,507,958,958,655

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

The LCM of 564,507,958,958,655 is 29904918420.

Find LCM of 564,507,958,958,655 with Prime Factorization


2 564, 507, 958, 958, 655
3 282, 507, 479, 479, 655
479 94, 169, 479, 479, 655
94, 169, 1, 1, 655

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

2 x 3 x 479 x 94 x 169 x 1 x 1 x 655 = 29904918420

Therefore, the lowest common multiple of 564,507,958,958,655 is 29904918420.

LCM Formula to Find Lowest Common Multiple of 564,507,958,958,655

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.

564 x 507 x 958 x 958 x 655 = 171893471078160

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

507 : 1, 3, 13, 39, 169, 507

958 : 1, 2, 479, 958

958 : 1, 2, 479, 958

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,507,958,958,655, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

507:3x 13x 13

958:2x 479

958:2x 479

655:5x 131

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 479 = 5748

Therefore, the value for common factors is 5748.

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 = 171893471078160/(1x5748)

LCM = 171893471078160/5748

LCM = 29904918420

Thus, we can understand that the LCM of 564,507,958,958,655 is 29904918420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 507, 958, 958, 655

1. What is the LCM of 564, 507, 958, 958, 655?

Answer: LCM of 564, 507, 958, 958, 655 is 29904918420.

2. How to calculate the LCM of 564, 507, 958, 958, 655?

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 564, 507, 958, 958, 655.

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}.