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LCM of 330, 615, 528, 775, 471

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


Find the LCM of 330, 615, 528, 775, 471 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 330, 615, 528, 775, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,615,528,775,471

Given numbers are 330,615,528,775,471

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

The LCM of 330,615,528,775,471 is 2634020400.

Find LCM of 330,615,528,775,471 with Prime Factorization


2 330, 615, 528, 775, 471
3 165, 615, 264, 775, 471
5 55, 205, 88, 775, 157
11 11, 41, 88, 155, 157
1, 41, 8, 155, 157

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

2 x 3 x 5 x 11 x 1 x 41 x 8 x 155 x 157 = 2634020400

Therefore, the lowest common multiple of 330,615,528,775,471 is 2634020400.

LCM Formula to Find Lowest Common Multiple of 330,615,528,775,471

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.

330 x 615 x 528 x 775 x 471 = 39115202940000

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

615 : 1, 3, 5, 15, 41, 123, 205, 615

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

775 : 1, 5, 25, 31, 155, 775

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,615,528,775,471, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

615:3x 5x 41

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

775:5x 5x 31

471:3x 157

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

2x 3x 3x 3x 5x 5x 11 = 14850

Therefore, the value for common factors is 14850.

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 = 39115202940000/(1x14850)

LCM = 39115202940000/14850

LCM = 2634020400

Thus, we can understand that the LCM of 330,615,528,775,471 is 2634020400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 615, 528, 775, 471

1. What is the LCM of 330, 615, 528, 775, 471?

Answer: LCM of 330, 615, 528, 775, 471 is 2634020400.

2. How to calculate the LCM of 330, 615, 528, 775, 471?

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 330, 615, 528, 775, 471.

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}.