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LCM of 414, 222, 391, 222, 716

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


Find the LCM of 414, 222, 391, 222, 716 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 414, 222, 391, 222, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 414,222,391,222,716

Given numbers are 414,222,391,222,716

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

The LCM of 414,222,391,222,716 is 93225348.

Find LCM of 414,222,391,222,716 with Prime Factorization


2 414, 222, 391, 222, 716
3 207, 111, 391, 111, 358
23 69, 37, 391, 37, 358
37 3, 37, 17, 37, 358
3, 1, 17, 1, 358

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

2 x 3 x 23 x 37 x 3 x 1 x 17 x 1 x 358 = 93225348

Therefore, the lowest common multiple of 414,222,391,222,716 is 93225348.

LCM Formula to Find Lowest Common Multiple of 414,222,391,222,716

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.

414 x 222 x 391 x 222 x 716 = 5712103522656

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

222 : 1, 2, 3, 6, 37, 74, 111, 222

391 : 1, 17, 23, 391

222 : 1, 2, 3, 6, 37, 74, 111, 222

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,222,391,222,716, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

222:2x 3x 37

391:17x 23

222:2x 3x 37

716:2x 2x 179

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 2x 3x 3x 23x 37 = 61272

Therefore, the value for common factors is 61272.

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 = 5712103522656/(1x61272)

LCM = 5712103522656/61272

LCM = 93225348

Thus, we can understand that the LCM of 414,222,391,222,716 is 93225348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 414, 222, 391, 222, 716

1. What is the LCM of 414, 222, 391, 222, 716?

Answer: LCM of 414, 222, 391, 222, 716 is 93225348.

2. How to calculate the LCM of 414, 222, 391, 222, 716?

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 414, 222, 391, 222, 716.

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}.