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LCM of 817, 946, 691, 164, 222

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


Find the LCM of 817, 946, 691, 164, 222 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 817, 946, 691, 164, 222. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,946,691,164,222

Given numbers are 817,946,691,164,222

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

The LCM of 817,946,691,164,222 is 113047149468.

Find LCM of 817,946,691,164,222 with Prime Factorization


2 817, 946, 691, 164, 222
43 817, 473, 691, 82, 111
19, 11, 691, 82, 111

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

2 x 43 x 19 x 11 x 691 x 82 x 111 = 113047149468

Therefore, the lowest common multiple of 817,946,691,164,222 is 113047149468.

LCM Formula to Find Lowest Common Multiple of 817,946,691,164,222

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.

817 x 946 x 691 x 164 x 222 = 19444109708496

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.

817 : 1, 19, 43, 817

946 : 1, 2, 11, 22, 43, 86, 473, 946

691 : 1, 691

164 : 1, 2, 4, 41, 82, 164

222 : 1, 2, 3, 6, 37, 74, 111, 222

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,946,691,164,222, is 1.

Now, the common factors can be found like this.

817:19x 43

946:2x 11x 43

691:691

164:2x 2x 41

222:2x 3x 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 43 = 172

Therefore, the value for common factors is 172.

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 = 19444109708496/(1x172)

LCM = 19444109708496/172

LCM = 113047149468

Thus, we can understand that the LCM of 817,946,691,164,222 is 113047149468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 946, 691, 164, 222

1. What is the LCM of 817, 946, 691, 164, 222?

Answer: LCM of 817, 946, 691, 164, 222 is 113047149468.

2. How to calculate the LCM of 817, 946, 691, 164, 222?

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 817, 946, 691, 164, 222.

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}.