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LCM of 929, 977, 514, 946, 214

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


Find the LCM of 929, 977, 514, 946, 214 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 929, 977, 514, 946, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,977,514,946,214

Given numbers are 929,977,514,946,214

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

The LCM of 929,977,514,946,214 is 23611213874182.

Find LCM of 929,977,514,946,214 with Prime Factorization


2 929, 977, 514, 946, 214
929, 977, 257, 473, 107

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

2 x 929 x 977 x 257 x 473 x 107 = 23611213874182

Therefore, the lowest common multiple of 929,977,514,946,214 is 23611213874182.

LCM Formula to Find Lowest Common Multiple of 929,977,514,946,214

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.

929 x 977 x 514 x 946 x 214 = 94444855496728

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.

929 : 1, 929

977 : 1, 977

514 : 1, 2, 257, 514

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

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,977,514,946,214, is 1.

Now, the common factors can be found like this.

929:929

977:977

514:2x 257

946:2x 11x 43

214:2x 107

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 = 94444855496728/(1x4)

LCM = 94444855496728/4

LCM = 23611213874182

Thus, we can understand that the LCM of 929,977,514,946,214 is 23611213874182.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 977, 514, 946, 214

1. What is the LCM of 929, 977, 514, 946, 214?

Answer: LCM of 929, 977, 514, 946, 214 is 23611213874182.

2. How to calculate the LCM of 929, 977, 514, 946, 214?

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 929, 977, 514, 946, 214.

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}.