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LCM of 606, 828, 661, 555, 240

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


Find the LCM of 606, 828, 661, 555, 240 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 606, 828, 661, 555, 240. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,828,661,555,240

Given numbers are 606,828,661,555,240

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

The LCM of 606,828,661,555,240 is 40905799920.

Find LCM of 606,828,661,555,240 with Prime Factorization


2 606, 828, 661, 555, 240
2 303, 414, 661, 555, 120
3 303, 207, 661, 555, 60
5 101, 69, 661, 185, 20
101, 69, 661, 37, 4

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

2 x 2 x 3 x 5 x 101 x 69 x 661 x 37 x 4 = 40905799920

Therefore, the lowest common multiple of 606,828,661,555,240 is 40905799920.

LCM Formula to Find Lowest Common Multiple of 606,828,661,555,240

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.

606 x 828 x 661 x 555 x 240 = 44178263913600

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

661 : 1, 661

555 : 1, 3, 5, 15, 37, 111, 185, 555

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,828,661,555,240, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

828:2x 2x 3x 3x 23

661:661

555:3x 5x 37

240:2x 2x 2x 2x 3x 5

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 2x 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 44178263913600/(1x1080)

LCM = 44178263913600/1080

LCM = 40905799920

Thus, we can understand that the LCM of 606,828,661,555,240 is 40905799920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 828, 661, 555, 240

1. What is the LCM of 606, 828, 661, 555, 240?

Answer: LCM of 606, 828, 661, 555, 240 is 40905799920.

2. How to calculate the LCM of 606, 828, 661, 555, 240?

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 606, 828, 661, 555, 240.

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}.