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LCM of 214, 463, 961, 961

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


Find the LCM of 214, 463, 961, 961 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 214, 463, 961, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,463,961,961

Given numbers are 214,463,961,961

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

The LCM of 214,463,961,961 is 95217802.

Find LCM of 214,463,961,961 with Prime Factorization


31 214, 463, 961, 961
31 214, 463, 31, 31
214, 463, 1, 1

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

31 x 31 x 214 x 463 x 1 x 1 = 95217802

Therefore, the lowest common multiple of 214,463,961,961 is 95217802.

LCM Formula to Find Lowest Common Multiple of 214,463,961,961

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.

214 x 463 x 961 x 961 = 91504307722

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.

214 : 1, 2, 107, 214

463 : 1, 463

961 : 1, 31, 961

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,463,961,961, is 1.

Now, the common factors can be found like this.

214:2x 107

463:463

961:31x 31

961:31x 31

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

31x 31 = 961

Therefore, the value for common factors is 961.

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 = 91504307722/(1x961)

LCM = 91504307722/961

LCM = 95217802

Thus, we can understand that the LCM of 214,463,961,961 is 95217802.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 463, 961, 961

1. What is the LCM of 214, 463, 961, 961?

Answer: LCM of 214, 463, 961, 961 is 95217802.

2. How to calculate the LCM of 214, 463, 961, 961?

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 214, 463, 961, 961.

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}.