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LCM of 218, 311, 806, 461, 972

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


Find the LCM of 218, 311, 806, 461, 972 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 218, 311, 806, 461, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,311,806,461,972

Given numbers are 218,311,806,461,972

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

The LCM of 218,311,806,461,972 is 6121517895324.

Find LCM of 218,311,806,461,972 with Prime Factorization


2 218, 311, 806, 461, 972
109, 311, 403, 461, 486

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

2 x 109 x 311 x 403 x 461 x 486 = 6121517895324

Therefore, the lowest common multiple of 218,311,806,461,972 is 6121517895324.

LCM Formula to Find Lowest Common Multiple of 218,311,806,461,972

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.

218 x 311 x 806 x 461 x 972 = 24486071581296

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.

218 : 1, 2, 109, 218

311 : 1, 311

806 : 1, 2, 13, 26, 31, 62, 403, 806

461 : 1, 461

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,311,806,461,972, is 1.

Now, the common factors can be found like this.

218:2x 109

311:311

806:2x 13x 31

461:461

972:2x 2x 3x 3x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 24486071581296/(1x4)

LCM = 24486071581296/4

LCM = 6121517895324

Thus, we can understand that the LCM of 218,311,806,461,972 is 6121517895324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 311, 806, 461, 972

1. What is the LCM of 218, 311, 806, 461, 972?

Answer: LCM of 218, 311, 806, 461, 972 is 6121517895324.

2. How to calculate the LCM of 218, 311, 806, 461, 972?

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 218, 311, 806, 461, 972.

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}.