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LCM of 363, 300, 678, 536, 555

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


Find the LCM of 363, 300, 678, 536, 555 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 363, 300, 678, 536, 555. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,300,678,536,555

Given numbers are 363,300,678,536,555

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

The LCM of 363,300,678,536,555 is 20337220200.

Find LCM of 363,300,678,536,555 with Prime Factorization


2 363, 300, 678, 536, 555
2 363, 150, 339, 268, 555
3 363, 75, 339, 134, 555
5 121, 25, 113, 134, 185
121, 5, 113, 134, 37

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

2 x 2 x 3 x 5 x 121 x 5 x 113 x 134 x 37 = 20337220200

Therefore, the lowest common multiple of 363,300,678,536,555 is 20337220200.

LCM Formula to Find Lowest Common Multiple of 363,300,678,536,555

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.

363 x 300 x 678 x 536 x 555 = 21964197816000

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.

363 : 1, 3, 11, 33, 121, 363

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,300,678,536,555, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

300:2x 2x 3x 5x 5

678:2x 3x 113

536:2x 2x 2x 67

555:3x 5x 37

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 = 21964197816000/(1x1080)

LCM = 21964197816000/1080

LCM = 20337220200

Thus, we can understand that the LCM of 363,300,678,536,555 is 20337220200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 300, 678, 536, 555

1. What is the LCM of 363, 300, 678, 536, 555?

Answer: LCM of 363, 300, 678, 536, 555 is 20337220200.

2. How to calculate the LCM of 363, 300, 678, 536, 555?

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 363, 300, 678, 536, 555.

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}.