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LCM of 153, 515, 515, 525

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


Find the LCM of 153, 515, 515, 525 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 153, 515, 515, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,515,515,525

Given numbers are 153,515,515,525

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

The LCM of 153,515,515,525 is 2757825.

Find LCM of 153,515,515,525 with Prime Factorization


3 153, 515, 515, 525
5 51, 515, 515, 175
103 51, 103, 103, 35
51, 1, 1, 35

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

3 x 5 x 103 x 51 x 1 x 1 x 35 = 2757825

Therefore, the lowest common multiple of 153,515,515,525 is 2757825.

LCM Formula to Find Lowest Common Multiple of 153,515,515,525

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.

153 x 515 x 515 x 525 = 21304198125

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.

153 : 1, 3, 9, 17, 51, 153

515 : 1, 5, 103, 515

515 : 1, 5, 103, 515

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,515,515,525, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

515:5x 103

515:5x 103

525:3x 5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 5x 5x 103 = 7725

Therefore, the value for common factors is 7725.

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 = 21304198125/(1x7725)

LCM = 21304198125/7725

LCM = 2757825

Thus, we can understand that the LCM of 153,515,515,525 is 2757825.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 515, 515, 525

1. What is the LCM of 153, 515, 515, 525?

Answer: LCM of 153, 515, 515, 525 is 2757825.

2. How to calculate the LCM of 153, 515, 515, 525?

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 153, 515, 515, 525.

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}.