Given numbers are 505,905,697,630,728

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

The LCM of 505,905,697,630,728 is 417423235320.

Find LCM of 505,905,697,630,728 with Prime Factorization

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

2 x 5 x 7 x 101 x 181 x 697 x 9 x 52 = 417423235320

Therefore, the lowest common multiple of 505,905,697,630,728 is 417423235320.

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.

505 x 905 x 697 x 630 x 728 = 146098132362000

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.

505 : 1, 5, 101, 505

905 : 1, 5, 181, 905

697 : 1, 17, 41, 697

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,905,697,630,728, is 1.

Now, the common factors can be found like this.

505:5x 101

905:5x 181

697:17x 41

630:2x 3x 3x 5x 7

728:2x 2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5x 7 = 350

Therefore, the value for common factors is 350.

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 = 146098132362000/(1x350)

LCM = 146098132362000/350

LCM = 417423235320

Thus, we can understand that the LCM of 505,905,697,630,728 is 417423235320.

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

• LCM of 181, 691, 960, 789, 417
• LCM of 739, 578, 703, 482, 606
• LCM of 217, 444, 891, 414, 397
• LCM of 479, 429, 792, 370, 699
• LCM of 918, 196, 515, 259, 743

1. What is the LCM of 505, 905, 697, 630, 728?

Answer: LCM of 505, 905, 697, 630, 728 is 417423235320.

2. How to calculate the LCM of 505, 905, 697, 630, 728?

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 505, 905, 697, 630, 728.

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}.