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LCM of 842, 358, 317, 214

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


Find the LCM of 842, 358, 317, 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 842, 358, 317, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,358,317,214

Given numbers are 842,358,317,214

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

The LCM of 842,358,317,214 is 5112203842.

Find LCM of 842,358,317,214 with Prime Factorization


2 842, 358, 317, 214
421, 179, 317, 107

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

2 x 421 x 179 x 317 x 107 = 5112203842

Therefore, the lowest common multiple of 842,358,317,214 is 5112203842.

LCM Formula to Find Lowest Common Multiple of 842,358,317,214

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.

842 x 358 x 317 x 214 = 20448815368

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.

842 : 1, 2, 421, 842

358 : 1, 2, 179, 358

317 : 1, 317

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,358,317,214, is 1.

Now, the common factors can be found like this.

842:2x 421

358:2x 179

317:317

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 = 20448815368/(1x4)

LCM = 20448815368/4

LCM = 5112203842

Thus, we can understand that the LCM of 842,358,317,214 is 5112203842.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 358, 317, 214

1. What is the LCM of 842, 358, 317, 214?

Answer: LCM of 842, 358, 317, 214 is 5112203842.

2. How to calculate the LCM of 842, 358, 317, 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 842, 358, 317, 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}.