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LCM of 201, 992, 648, 693, 875

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


Find the LCM of 201, 992, 648, 693, 875 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 201, 992, 648, 693, 875. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,992,648,693,875

Given numbers are 201,992,648,693,875

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

The LCM of 201,992,648,693,875 is 51816996000.

Find LCM of 201,992,648,693,875 with Prime Factorization


2 201, 992, 648, 693, 875
2 201, 496, 324, 693, 875
2 201, 248, 162, 693, 875
3 201, 124, 81, 693, 875
3 67, 124, 27, 231, 875
7 67, 124, 9, 77, 875
67, 124, 9, 11, 125

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

2 x 2 x 2 x 3 x 3 x 7 x 67 x 124 x 9 x 11 x 125 = 51816996000

Therefore, the lowest common multiple of 201,992,648,693,875 is 51816996000.

LCM Formula to Find Lowest Common Multiple of 201,992,648,693,875

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.

201 x 992 x 648 x 693 x 875 = 78347297952000

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.

201 : 1, 3, 67, 201

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,992,648,693,875, is 1.

Now, the common factors can be found like this.

201:3x 67

992:2x 2x 2x 2x 2x 31

648:2x 2x 2x 3x 3x 3x 3

693:3x 3x 7x 11

875:5x 5x 5x 7

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 7 = 1512

Therefore, the value for common factors is 1512.

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 = 78347297952000/(1x1512)

LCM = 78347297952000/1512

LCM = 51816996000

Thus, we can understand that the LCM of 201,992,648,693,875 is 51816996000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 992, 648, 693, 875

1. What is the LCM of 201, 992, 648, 693, 875?

Answer: LCM of 201, 992, 648, 693, 875 is 51816996000.

2. How to calculate the LCM of 201, 992, 648, 693, 875?

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 201, 992, 648, 693, 875.

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}.