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LCM of 318, 322, 977, 901, 164

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


Find the LCM of 318, 322, 977, 901, 164 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 318, 322, 977, 901, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 318,322,977,901,164

Given numbers are 318,322,977,901,164

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

The LCM of 318,322,977,901,164 is 69728501724.

Find LCM of 318,322,977,901,164 with Prime Factorization


2 318, 322, 977, 901, 164
53 159, 161, 977, 901, 82
3, 161, 977, 17, 82

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

2 x 53 x 3 x 161 x 977 x 17 x 82 = 69728501724

Therefore, the lowest common multiple of 318,322,977,901,164 is 69728501724.

LCM Formula to Find Lowest Common Multiple of 318,322,977,901,164

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.

318 x 322 x 977 x 901 x 164 = 14782442365488

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

322 : 1, 2, 7, 14, 23, 46, 161, 322

977 : 1, 977

901 : 1, 17, 53, 901

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,322,977,901,164, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

322:2x 7x 23

977:977

901:17x 53

164:2x 2x 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 53 = 212

Therefore, the value for common factors is 212.

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 = 14782442365488/(1x212)

LCM = 14782442365488/212

LCM = 69728501724

Thus, we can understand that the LCM of 318,322,977,901,164 is 69728501724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 318, 322, 977, 901, 164

1. What is the LCM of 318, 322, 977, 901, 164?

Answer: LCM of 318, 322, 977, 901, 164 is 69728501724.

2. How to calculate the LCM of 318, 322, 977, 901, 164?

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 318, 322, 977, 901, 164.

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}.