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LCM of 487, 666, 653, 525, 524

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


Find the LCM of 487, 666, 653, 525, 524 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 487, 666, 653, 525, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,666,653,525,524

Given numbers are 487,666,653,525,524

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

The LCM of 487,666,653,525,524 is 9710815697100.

Find LCM of 487,666,653,525,524 with Prime Factorization


2 487, 666, 653, 525, 524
3 487, 333, 653, 525, 262
487, 111, 653, 175, 262

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

2 x 3 x 487 x 111 x 653 x 175 x 262 = 9710815697100

Therefore, the lowest common multiple of 487,666,653,525,524 is 9710815697100.

LCM Formula to Find Lowest Common Multiple of 487,666,653,525,524

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.

487 x 666 x 653 x 525 x 524 = 58264894182600

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.

487 : 1, 487

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

653 : 1, 653

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

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,666,653,525,524, is 1.

Now, the common factors can be found like this.

487:487

666:2x 3x 3x 37

653:653

525:3x 5x 5x 7

524:2x 2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 58264894182600/(1x6)

LCM = 58264894182600/6

LCM = 9710815697100

Thus, we can understand that the LCM of 487,666,653,525,524 is 9710815697100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 666, 653, 525, 524

1. What is the LCM of 487, 666, 653, 525, 524?

Answer: LCM of 487, 666, 653, 525, 524 is 9710815697100.

2. How to calculate the LCM of 487, 666, 653, 525, 524?

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 487, 666, 653, 525, 524.

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}.