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LCM of 531, 648, 563, 414, 168

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


Find the LCM of 531, 648, 563, 414, 168 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 531, 648, 563, 414, 168. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,648,563,414,168

Given numbers are 531,648,563,414,168

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

The LCM of 531,648,563,414,168 is 3465463176.

Find LCM of 531,648,563,414,168 with Prime Factorization


2 531, 648, 563, 414, 168
2 531, 324, 563, 207, 84
2 531, 162, 563, 207, 42
3 531, 81, 563, 207, 21
3 177, 27, 563, 69, 7
59, 9, 563, 23, 7

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

2 x 2 x 2 x 3 x 3 x 59 x 9 x 563 x 23 x 7 = 3465463176

Therefore, the lowest common multiple of 531,648,563,414,168 is 3465463176.

LCM Formula to Find Lowest Common Multiple of 531,648,563,414,168

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.

531 x 648 x 563 x 414 x 168 = 13473720828288

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.

531 : 1, 3, 9, 59, 177, 531

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

563 : 1, 563

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,648,563,414,168, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

648:2x 2x 2x 3x 3x 3x 3

563:563

414:2x 3x 3x 23

168:2x 2x 2x 3x 7

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 2x 2x 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 13473720828288/(1x3888)

LCM = 13473720828288/3888

LCM = 3465463176

Thus, we can understand that the LCM of 531,648,563,414,168 is 3465463176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 648, 563, 414, 168

1. What is the LCM of 531, 648, 563, 414, 168?

Answer: LCM of 531, 648, 563, 414, 168 is 3465463176.

2. How to calculate the LCM of 531, 648, 563, 414, 168?

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 531, 648, 563, 414, 168.

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}.