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LCM of 146, 920, 486, 403, 620

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


Find the LCM of 146, 920, 486, 403, 620 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 146, 920, 486, 403, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 146,920,486,403,620

Given numbers are 146,920,486,403,620

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

The LCM of 146,920,486,403,620 is 6576911640.

Find LCM of 146,920,486,403,620 with Prime Factorization


2 146, 920, 486, 403, 620
2 73, 460, 243, 403, 310
5 73, 230, 243, 403, 155
31 73, 46, 243, 403, 31
73, 46, 243, 13, 1

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

2 x 2 x 5 x 31 x 73 x 46 x 243 x 13 x 1 = 6576911640

Therefore, the lowest common multiple of 146,920,486,403,620 is 6576911640.

LCM Formula to Find Lowest Common Multiple of 146,920,486,403,620

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.

146 x 920 x 486 x 403 x 620 = 16310740867200

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.

146 : 1, 2, 73, 146

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

403 : 1, 13, 31, 403

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,920,486,403,620, is 1.

Now, the common factors can be found like this.

146:2x 73

920:2x 2x 2x 5x 23

486:2x 3x 3x 3x 3x 3

403:13x 31

620:2x 2x 5x 31

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 2x 5x 31 = 2480

Therefore, the value for common factors is 2480.

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 = 16310740867200/(1x2480)

LCM = 16310740867200/2480

LCM = 6576911640

Thus, we can understand that the LCM of 146,920,486,403,620 is 6576911640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 146, 920, 486, 403, 620

1. What is the LCM of 146, 920, 486, 403, 620?

Answer: LCM of 146, 920, 486, 403, 620 is 6576911640.

2. How to calculate the LCM of 146, 920, 486, 403, 620?

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 146, 920, 486, 403, 620.

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}.