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LCM of 801, 434, 437, 214

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


Find the LCM of 801, 434, 437, 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 801, 434, 437, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,434,437,214

Given numbers are 801,434,437,214

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

The LCM of 801,434,437,214 is 16255018206.

Find LCM of 801,434,437,214 with Prime Factorization


2 801, 434, 437, 214
801, 217, 437, 107

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

2 x 801 x 217 x 437 x 107 = 16255018206

Therefore, the lowest common multiple of 801,434,437,214 is 16255018206.

LCM Formula to Find Lowest Common Multiple of 801,434,437,214

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.

801 x 434 x 437 x 214 = 32510036412

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.

801 : 1, 3, 9, 89, 267, 801

434 : 1, 2, 7, 14, 31, 62, 217, 434

437 : 1, 19, 23, 437

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,434,437,214, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

434:2x 7x 31

437:19x 23

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 32510036412/(1x2)

LCM = 32510036412/2

LCM = 16255018206

Thus, we can understand that the LCM of 801,434,437,214 is 16255018206.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 434, 437, 214

1. What is the LCM of 801, 434, 437, 214?

Answer: LCM of 801, 434, 437, 214 is 16255018206.

2. How to calculate the LCM of 801, 434, 437, 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 801, 434, 437, 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}.