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LCM of 366, 943, 577, 356, 582

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


Find the LCM of 366, 943, 577, 356, 582 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 366, 943, 577, 356, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 366,943,577,356,582

Given numbers are 366,943,577,356,582

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

The LCM of 366,943,577,356,582 is 3438431112516.

Find LCM of 366,943,577,356,582 with Prime Factorization


2 366, 943, 577, 356, 582
3 183, 943, 577, 178, 291
61, 943, 577, 178, 97

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

2 x 3 x 61 x 943 x 577 x 178 x 97 = 3438431112516

Therefore, the lowest common multiple of 366,943,577,356,582 is 3438431112516.

LCM Formula to Find Lowest Common Multiple of 366,943,577,356,582

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.

366 x 943 x 577 x 356 x 582 = 41261173350192

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

943 : 1, 23, 41, 943

577 : 1, 577

356 : 1, 2, 4, 89, 178, 356

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,943,577,356,582, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

943:23x 41

577:577

356:2x 2x 89

582:2x 3x 97

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 3 = 12

Therefore, the value for common factors is 12.

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 = 41261173350192/(1x12)

LCM = 41261173350192/12

LCM = 3438431112516

Thus, we can understand that the LCM of 366,943,577,356,582 is 3438431112516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 366, 943, 577, 356, 582

1. What is the LCM of 366, 943, 577, 356, 582?

Answer: LCM of 366, 943, 577, 356, 582 is 3438431112516.

2. How to calculate the LCM of 366, 943, 577, 356, 582?

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 366, 943, 577, 356, 582.

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}.