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LCM of 360, 131, 647, 828, 802

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


Find the LCM of 360, 131, 647, 828, 802 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 360, 131, 647, 828, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,131,647,828,802

Given numbers are 360,131,647,828,802

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

The LCM of 360,131,647,828,802 is 281416971960.

Find LCM of 360,131,647,828,802 with Prime Factorization


2 360, 131, 647, 828, 802
2 180, 131, 647, 414, 401
3 90, 131, 647, 207, 401
3 30, 131, 647, 69, 401
10, 131, 647, 23, 401

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

2 x 2 x 3 x 3 x 10 x 131 x 647 x 23 x 401 = 281416971960

Therefore, the lowest common multiple of 360,131,647,828,802 is 281416971960.

LCM Formula to Find Lowest Common Multiple of 360,131,647,828,802

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.

360 x 131 x 647 x 828 x 802 = 20262021981120

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

131 : 1, 131

647 : 1, 647

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

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,131,647,828,802, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

131:131

647:647

828:2x 2x 3x 3x 23

802:2x 401

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 3 = 72

Therefore, the value for common factors is 72.

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 = 20262021981120/(1x72)

LCM = 20262021981120/72

LCM = 281416971960

Thus, we can understand that the LCM of 360,131,647,828,802 is 281416971960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 360, 131, 647, 828, 802

1. What is the LCM of 360, 131, 647, 828, 802?

Answer: LCM of 360, 131, 647, 828, 802 is 281416971960.

2. How to calculate the LCM of 360, 131, 647, 828, 802?

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 360, 131, 647, 828, 802.

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}.