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LCM of 358, 838, 214, 442

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


Find the LCM of 358, 838, 214, 442 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 358, 838, 214, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,838,214,442

Given numbers are 358,838,214,442

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

The LCM of 358,838,214,442 is 3547097294.

Find LCM of 358,838,214,442 with Prime Factorization


2 358, 838, 214, 442
179, 419, 107, 221

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

2 x 179 x 419 x 107 x 221 = 3547097294

Therefore, the lowest common multiple of 358,838,214,442 is 3547097294.

LCM Formula to Find Lowest Common Multiple of 358,838,214,442

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.

358 x 838 x 214 x 442 = 28376778352

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.

358 : 1, 2, 179, 358

838 : 1, 2, 419, 838

214 : 1, 2, 107, 214

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,838,214,442, is 2.

Now, the common factors can be found like this.

358:2x 179

838:2x 419

214:2x 107

442:2x 13x 17

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 = 28376778352/(2x4)

LCM = 28376778352/8

LCM = 3547097294

Thus, we can understand that the LCM of 358,838,214,442 is 3547097294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 838, 214, 442

1. What is the LCM of 358, 838, 214, 442?

Answer: LCM of 358, 838, 214, 442 is 3547097294.

2. How to calculate the LCM of 358, 838, 214, 442?

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 358, 838, 214, 442.

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}.