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LCM of 624, 480, 778, 681, 481

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


Find the LCM of 624, 480, 778, 681, 481 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 624, 480, 778, 681, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,480,778,681,481

Given numbers are 624,480,778,681,481

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

The LCM of 624,480,778,681,481 is 20387396640.

Find LCM of 624,480,778,681,481 with Prime Factorization


2 624, 480, 778, 681, 481
2 312, 240, 389, 681, 481
2 156, 120, 389, 681, 481
2 78, 60, 389, 681, 481
3 39, 30, 389, 681, 481
13 13, 10, 389, 227, 481
1, 10, 389, 227, 37

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

2 x 2 x 2 x 2 x 3 x 13 x 1 x 10 x 389 x 227 x 37 = 20387396640

Therefore, the lowest common multiple of 624,480,778,681,481 is 20387396640.

LCM Formula to Find Lowest Common Multiple of 624,480,778,681,481

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.

624 x 480 x 778 x 681 x 481 = 76330413020160

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

778 : 1, 2, 389, 778

681 : 1, 3, 227, 681

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,480,778,681,481, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

480:2x 2x 2x 2x 2x 3x 5

778:2x 389

681:3x 227

481:13x 37

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 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 76330413020160/(1x3744)

LCM = 76330413020160/3744

LCM = 20387396640

Thus, we can understand that the LCM of 624,480,778,681,481 is 20387396640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 480, 778, 681, 481

1. What is the LCM of 624, 480, 778, 681, 481?

Answer: LCM of 624, 480, 778, 681, 481 is 20387396640.

2. How to calculate the LCM of 624, 480, 778, 681, 481?

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 624, 480, 778, 681, 481.

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}.