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LCM of 473, 363, 460, 920, 657

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


Find the LCM of 473, 363, 460, 920, 657 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 473, 363, 460, 920, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,363,460,920,657

Given numbers are 473,363,460,920,657

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

The LCM of 473,363,460,920,657 is 3144901320.

Find LCM of 473,363,460,920,657 with Prime Factorization


2 473, 363, 460, 920, 657
2 473, 363, 230, 460, 657
3 473, 363, 115, 230, 657
5 473, 121, 115, 230, 219
11 473, 121, 23, 46, 219
23 43, 11, 23, 46, 219
43, 11, 1, 2, 219

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

2 x 2 x 3 x 5 x 11 x 23 x 43 x 11 x 1 x 2 x 219 = 3144901320

Therefore, the lowest common multiple of 473,363,460,920,657 is 3144901320.

LCM Formula to Find Lowest Common Multiple of 473,363,460,920,657

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.

473 x 363 x 460 x 920 x 657 = 47739602037600

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.

473 : 1, 11, 43, 473

363 : 1, 3, 11, 33, 121, 363

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,363,460,920,657, is 1.

Now, the common factors can be found like this.

473:11x 43

363:3x 11x 11

460:2x 2x 5x 23

920:2x 2x 2x 5x 23

657:3x 3x 73

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 3x 5x 11x 23 = 15180

Therefore, the value for common factors is 15180.

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 = 47739602037600/(1x15180)

LCM = 47739602037600/15180

LCM = 3144901320

Thus, we can understand that the LCM of 473,363,460,920,657 is 3144901320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 363, 460, 920, 657

1. What is the LCM of 473, 363, 460, 920, 657?

Answer: LCM of 473, 363, 460, 920, 657 is 3144901320.

2. How to calculate the LCM of 473, 363, 460, 920, 657?

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 473, 363, 460, 920, 657.

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}.