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LCM of 358, 156, 321, 949, 648

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


Find the LCM of 358, 156, 321, 949, 648 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, 156, 321, 949, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,156,321,949,648

Given numbers are 358,156,321,949,648

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

The LCM of 358,156,321,949,648 is 11778175656.

Find LCM of 358,156,321,949,648 with Prime Factorization


2 358, 156, 321, 949, 648
2 179, 78, 321, 949, 324
3 179, 39, 321, 949, 162
13 179, 13, 107, 949, 54
179, 1, 107, 73, 54

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

2 x 2 x 3 x 13 x 179 x 1 x 107 x 73 x 54 = 11778175656

Therefore, the lowest common multiple of 358,156,321,949,648 is 11778175656.

LCM Formula to Find Lowest Common Multiple of 358,156,321,949,648

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 156 x 321 x 949 x 648 = 11024372414016

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

321 : 1, 3, 107, 321

949 : 1, 13, 73, 949

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,156,321,949,648, is 1.

Now, the common factors can be found like this.

358:2x 179

156:2x 2x 3x 13

321:3x 107

949:13x 73

648:2x 2x 2x 3x 3x 3x 3

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 13 = 936

Therefore, the value for common factors is 936.

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 = 11024372414016/(1x936)

LCM = 11024372414016/936

LCM = 11778175656

Thus, we can understand that the LCM of 358,156,321,949,648 is 11778175656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 156, 321, 949, 648

1. What is the LCM of 358, 156, 321, 949, 648?

Answer: LCM of 358, 156, 321, 949, 648 is 11778175656.

2. How to calculate the LCM of 358, 156, 321, 949, 648?

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, 156, 321, 949, 648.

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}.