Given numbers are 542,580,644,755,720

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

The LCM of 542,580,644,755,720 is 137563307280.

Find LCM of 542,580,644,755,720 with Prime Factorization

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

2 x 2 x 5 x 271 x 29 x 161 x 151 x 36 = 137563307280

Therefore, the lowest common multiple of 542,580,644,755,720 is 137563307280.

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.

542 x 580 x 644 x 755 x 720 = 110050645824000

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.

542 : 1, 2, 271, 542

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

755 : 1, 5, 151, 755

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,580,644,755,720, is 1.

Now, the common factors can be found like this.

542:2x 271

580:2x 2x 5x 29

644:2x 2x 7x 23

755:5x 151

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

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 110050645824000/(1x800)

LCM = 110050645824000/800

LCM = 137563307280

Thus, we can understand that the LCM of 542,580,644,755,720 is 137563307280.

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

• LCM of 645, 443, 181, 446, 310
• LCM of 666, 538, 177, 366, 765
• LCM of 714, 895, 854, 829, 483
• LCM of 376, 229, 604, 272, 738
• LCM of 648, 901, 313, 905, 274

1. What is the LCM of 542, 580, 644, 755, 720?

Answer: LCM of 542, 580, 644, 755, 720 is 137563307280.

2. How to calculate the LCM of 542, 580, 644, 755, 720?

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 542, 580, 644, 755, 720.

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}.