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LCM of 666, 821, 303, 350, 536

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


Find the LCM of 666, 821, 303, 350, 536 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 666, 821, 303, 350, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 666,821,303,350,536

Given numbers are 666,821,303,350,536

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

The LCM of 666,821,303,350,536 is 2590070603400.

Find LCM of 666,821,303,350,536 with Prime Factorization


2 666, 821, 303, 350, 536
3 333, 821, 303, 175, 268
111, 821, 101, 175, 268

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

2 x 3 x 111 x 821 x 101 x 175 x 268 = 2590070603400

Therefore, the lowest common multiple of 666,821,303,350,536 is 2590070603400.

LCM Formula to Find Lowest Common Multiple of 666,821,303,350,536

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.

666 x 821 x 303 x 350 x 536 = 31080847240800

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.

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

821 : 1, 821

303 : 1, 3, 101, 303

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,821,303,350,536, is 1.

Now, the common factors can be found like this.

666:2x 3x 3x 37

821:821

303:3x 101

350:2x 5x 5x 7

536:2x 2x 2x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 31080847240800/(1x12)

LCM = 31080847240800/12

LCM = 2590070603400

Thus, we can understand that the LCM of 666,821,303,350,536 is 2590070603400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 666, 821, 303, 350, 536

1. What is the LCM of 666, 821, 303, 350, 536?

Answer: LCM of 666, 821, 303, 350, 536 is 2590070603400.

2. How to calculate the LCM of 666, 821, 303, 350, 536?

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 666, 821, 303, 350, 536.

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}.