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LCM of 215, 528, 697, 697, 523

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


Find the LCM of 215, 528, 697, 697, 523 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 215, 528, 697, 697, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 215,528,697,697,523

Given numbers are 215,528,697,697,523

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

The LCM of 215,528,697,697,523 is 41381559120.

Find LCM of 215,528,697,697,523 with Prime Factorization


17 215, 528, 697, 697, 523
41 215, 528, 41, 41, 523
215, 528, 1, 1, 523

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

17 x 41 x 215 x 528 x 1 x 1 x 523 = 41381559120

Therefore, the lowest common multiple of 215,528,697,697,523 is 41381559120.

LCM Formula to Find Lowest Common Multiple of 215,528,697,697,523

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.

215 x 528 x 697 x 697 x 523 = 28842946706640

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.

215 : 1, 5, 43, 215

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

697 : 1, 17, 41, 697

697 : 1, 17, 41, 697

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,528,697,697,523, is 1.

Now, the common factors can be found like this.

215:5x 43

528:2x 2x 2x 2x 3x 11

697:17x 41

697:17x 41

523:523

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

17x 41 = 697

Therefore, the value for common factors is 697.

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 = 28842946706640/(1x697)

LCM = 28842946706640/697

LCM = 41381559120

Thus, we can understand that the LCM of 215,528,697,697,523 is 41381559120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 215, 528, 697, 697, 523

1. What is the LCM of 215, 528, 697, 697, 523?

Answer: LCM of 215, 528, 697, 697, 523 is 41381559120.

2. How to calculate the LCM of 215, 528, 697, 697, 523?

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 215, 528, 697, 697, 523.

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}.