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LCM of 620, 221, 663, 828, 649

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


Find the LCM of 620, 221, 663, 828, 649 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 620, 221, 663, 828, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 620,221,663,828,649

Given numbers are 620,221,663,828,649

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

The LCM of 620,221,663,828,649 is 18407677860.

Find LCM of 620,221,663,828,649 with Prime Factorization


2 620, 221, 663, 828, 649
2 310, 221, 663, 414, 649
3 155, 221, 663, 207, 649
13 155, 221, 221, 69, 649
17 155, 17, 17, 69, 649
155, 1, 1, 69, 649

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

2 x 2 x 3 x 13 x 17 x 155 x 1 x 1 x 69 x 649 = 18407677860

Therefore, the lowest common multiple of 620,221,663,828,649 is 18407677860.

LCM Formula to Find Lowest Common Multiple of 620,221,663,828,649

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.

620 x 221 x 663 x 828 x 649 = 48817161684720

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.

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

221 : 1, 13, 17, 221

663 : 1, 3, 13, 17, 39, 51, 221, 663

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,221,663,828,649, is 1.

Now, the common factors can be found like this.

620:2x 2x 5x 31

221:13x 17

663:3x 13x 17

828:2x 2x 3x 3x 23

649:11x 59

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 13x 17 = 2652

Therefore, the value for common factors is 2652.

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 = 48817161684720/(1x2652)

LCM = 48817161684720/2652

LCM = 18407677860

Thus, we can understand that the LCM of 620,221,663,828,649 is 18407677860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 620, 221, 663, 828, 649

1. What is the LCM of 620, 221, 663, 828, 649?

Answer: LCM of 620, 221, 663, 828, 649 is 18407677860.

2. How to calculate the LCM of 620, 221, 663, 828, 649?

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 620, 221, 663, 828, 649.

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}.