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LCM of 525, 598, 702, 462

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


Find the LCM of 525, 598, 702, 462 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 525, 598, 702, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 525,598,702,462

Given numbers are 525,598,702,462

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

The LCM of 525,598,702,462 is 31081050.

Find LCM of 525,598,702,462 with Prime Factorization


2 525, 598, 702, 462
3 525, 299, 351, 231
7 175, 299, 117, 77
13 25, 299, 117, 11
25, 23, 9, 11

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

2 x 3 x 7 x 13 x 25 x 23 x 9 x 11 = 31081050

Therefore, the lowest common multiple of 525,598,702,462 is 31081050.

LCM Formula to Find Lowest Common Multiple of 525,598,702,462

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.

525 x 598 x 702 x 462 = 101821519800

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.

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

598 : 1, 2, 13, 23, 26, 46, 299, 598

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,598,702,462, is 1.

Now, the common factors can be found like this.

525:3x 5x 5x 7

598:2x 13x 23

702:2x 3x 3x 3x 13

462:2x 3x 7x 11

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 7x 13 = 3276

Therefore, the value for common factors is 3276.

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 = 101821519800/(1x3276)

LCM = 101821519800/3276

LCM = 31081050

Thus, we can understand that the LCM of 525,598,702,462 is 31081050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 525, 598, 702, 462

1. What is the LCM of 525, 598, 702, 462?

Answer: LCM of 525, 598, 702, 462 is 31081050.

2. How to calculate the LCM of 525, 598, 702, 462?

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 525, 598, 702, 462.

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}.