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LCM of 531, 638, 354, 562, 575

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


Find the LCM of 531, 638, 354, 562, 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 531, 638, 354, 562, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,638,354,562,575

Given numbers are 531,638,354,562,575

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

The LCM of 531,638,354,562,575 is 54738055350.

Find LCM of 531,638,354,562,575 with Prime Factorization


2 531, 638, 354, 562, 575
3 531, 319, 177, 281, 575
59 59, 319, 177, 281, 575
1, 319, 3, 281, 575

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

2 x 3 x 59 x 1 x 319 x 3 x 281 x 575 = 54738055350

Therefore, the lowest common multiple of 531,638,354,562,575 is 54738055350.

LCM Formula to Find Lowest Common Multiple of 531,638,354,562,575

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.

531 x 638 x 354 x 562 x 575 = 38754543187800

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

354 : 1, 2, 3, 6, 59, 118, 177, 354

562 : 1, 2, 281, 562

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 531,638,354,562,575, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

638:2x 11x 29

354:2x 3x 59

562:2x 281

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 2x 3x 59 = 708

Therefore, the value for common factors is 708.

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 = 38754543187800/(1x708)

LCM = 38754543187800/708

LCM = 54738055350

Thus, we can understand that the LCM of 531,638,354,562,575 is 54738055350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 638, 354, 562, 575

1. What is the LCM of 531, 638, 354, 562, 575?

Answer: LCM of 531, 638, 354, 562, 575 is 54738055350.

2. How to calculate the LCM of 531, 638, 354, 562, 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 531, 638, 354, 562, 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}.