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LCM of 358, 671, 546, 383, 659

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


Find the LCM of 358, 671, 546, 383, 659 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, 671, 546, 383, 659. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,671,546,383,659

Given numbers are 358,671,546,383,659

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

The LCM of 358,671,546,383,659 is 16552072595058.

Find LCM of 358,671,546,383,659 with Prime Factorization


2 358, 671, 546, 383, 659
179, 671, 273, 383, 659

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

2 x 179 x 671 x 273 x 383 x 659 = 16552072595058

Therefore, the lowest common multiple of 358,671,546,383,659 is 16552072595058.

LCM Formula to Find Lowest Common Multiple of 358,671,546,383,659

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 671 x 546 x 383 x 659 = 33104145190116

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

671 : 1, 11, 61, 671

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

383 : 1, 383

659 : 1, 659

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,671,546,383,659, is 1.

Now, the common factors can be found like this.

358:2x 179

671:11x 61

546:2x 3x 7x 13

383:383

659:659

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 = 33104145190116/(1x2)

LCM = 33104145190116/2

LCM = 16552072595058

Thus, we can understand that the LCM of 358,671,546,383,659 is 16552072595058.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 671, 546, 383, 659

1. What is the LCM of 358, 671, 546, 383, 659?

Answer: LCM of 358, 671, 546, 383, 659 is 16552072595058.

2. How to calculate the LCM of 358, 671, 546, 383, 659?

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, 671, 546, 383, 659.

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}.