Given numbers are 709,480,720,561,725

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

The LCM of 709,480,720,561,725 is 27683330400.

Find LCM of 709,480,720,561,725 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 709 x 2 x 3 x 187 x 145 = 27683330400

Therefore, the lowest common multiple of 709,480,720,561,725 is 27683330400.

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.

709 x 480 x 720 x 561 x 725 = 99659989440000

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.

709 : 1, 709

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

561 : 1, 3, 11, 17, 33, 51, 187, 561

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,480,720,561,725, is 1.

Now, the common factors can be found like this.

709:709

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

720:2x 2x 2x 2x 3x 3x 5

561:3x 11x 17

725:5x 5x 29

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 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 99659989440000/(1x3600)

LCM = 99659989440000/3600

LCM = 27683330400

Thus, we can understand that the LCM of 709,480,720,561,725 is 27683330400.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 891, 479, 260, 976, 693
• LCM of 358, 858, 404, 607, 690
• LCM of 738, 438, 899, 300, 375
• LCM of 977, 985, 489, 378, 154
• LCM of 765, 476, 748, 549, 227

1. What is the LCM of 709, 480, 720, 561, 725?

Answer: LCM of 709, 480, 720, 561, 725 is 27683330400.

2. How to calculate the LCM of 709, 480, 720, 561, 725?

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 709, 480, 720, 561, 725.

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}.