Given numbers are 735,420,460,299,136

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

The LCM of 735,420,460,299,136 is 29888040.

Find LCM of 735,420,460,299,136 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 23 x 1 x 7 x 1 x 13 x 34 = 29888040

Therefore, the lowest common multiple of 735,420,460,299,136 is 29888040.

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.

735 x 420 x 460 x 299 x 136 = 5774369328000

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

299 : 1, 13, 23, 299

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,420,460,299,136, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

420:2x 2x 3x 5x 7

460:2x 2x 5x 23

299:13x 23

136:2x 2x 2x 17

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 5x 5x 7x 23 = 193200

Therefore, the value for common factors is 193200.

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 = 5774369328000/(1x193200)

LCM = 5774369328000/193200

LCM = 29888040

Thus, we can understand that the LCM of 735,420,460,299,136 is 29888040.

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

• LCM of 578, 401, 395, 227, 451
• LCM of 153, 501, 700, 457, 463
• LCM of 734, 925, 802, 285, 841
• LCM of 606, 551, 530, 849, 218
• LCM of 627, 101, 352, 337, 339

1. What is the LCM of 735, 420, 460, 299, 136?

Answer: LCM of 735, 420, 460, 299, 136 is 29888040.

2. How to calculate the LCM of 735, 420, 460, 299, 136?

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 735, 420, 460, 299, 136.

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}.