Given numbers are 460,728,116,651,569

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

The LCM of 460,728,116,651,569 is 128476125960.

Find LCM of 460,728,116,651,569 with Prime Factorization

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

2 x 2 x 7 x 115 x 26 x 29 x 93 x 569 = 128476125960

Therefore, the lowest common multiple of 460,728,116,651,569 is 128476125960.

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.

460 x 728 x 116 x 651 x 569 = 14389326107520

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

116 : 1, 2, 4, 29, 58, 116

651 : 1, 3, 7, 21, 31, 93, 217, 651

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,728,116,651,569, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

728:2x 2x 2x 7x 13

116:2x 2x 29

651:3x 7x 31

569:569

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 7 = 112

Therefore, the value for common factors is 112.

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 = 14389326107520/(1x112)

LCM = 14389326107520/112

LCM = 128476125960

Thus, we can understand that the LCM of 460,728,116,651,569 is 128476125960.

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

• LCM of 551, 322, 530, 604, 921
• LCM of 960, 238, 661, 111, 786
• LCM of 648, 888, 958, 524, 424
• LCM of 598, 510, 423, 724, 998
• LCM of 209, 622, 682, 428, 215

1. What is the LCM of 460, 728, 116, 651, 569?

Answer: LCM of 460, 728, 116, 651, 569 is 128476125960.

2. How to calculate the LCM of 460, 728, 116, 651, 569?

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 460, 728, 116, 651, 569.

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}.