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LCM of 164, 566, 402, 779

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


Find the LCM of 164, 566, 402, 779 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 164, 566, 402, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 164,566,402,779

Given numbers are 164,566,402,779

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

The LCM of 164,566,402,779 is 177247428.

Find LCM of 164,566,402,779 with Prime Factorization


2 164, 566, 402, 779
41 82, 283, 201, 779
2, 283, 201, 19

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

2 x 41 x 2 x 283 x 201 x 19 = 177247428

Therefore, the lowest common multiple of 164,566,402,779 is 177247428.

LCM Formula to Find Lowest Common Multiple of 164,566,402,779

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.

164 x 566 x 402 x 779 = 29068578192

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.

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

566 : 1, 2, 283, 566

402 : 1, 2, 3, 6, 67, 134, 201, 402

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,566,402,779, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

566:2x 283

402:2x 3x 67

779:19x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 29068578192/(1x164)

LCM = 29068578192/164

LCM = 177247428

Thus, we can understand that the LCM of 164,566,402,779 is 177247428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 164, 566, 402, 779

1. What is the LCM of 164, 566, 402, 779?

Answer: LCM of 164, 566, 402, 779 is 177247428.

2. How to calculate the LCM of 164, 566, 402, 779?

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 164, 566, 402, 779.

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}.