Given numbers are 435,437,136,498,420

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

The LCM of 435,437,136,498,420 is 15020546520.

Find LCM of 435,437,136,498,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 437 x 34 x 83 x 7 = 15020546520

Therefore, the lowest common multiple of 435,437,136,498,420 is 15020546520.

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.

435 x 437 x 136 x 498 x 420 = 5407396747200

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

437 : 1, 19, 23, 437

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

498 : 1, 2, 3, 6, 83, 166, 249, 498

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,437,136,498,420, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

437:19x 23

136:2x 2x 2x 17

498:2x 3x 83

420:2x 2x 3x 5x 7

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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 5407396747200/(1x360)

LCM = 5407396747200/360

LCM = 15020546520

Thus, we can understand that the LCM of 435,437,136,498,420 is 15020546520.

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

• LCM of 406, 614, 667, 219, 590
• LCM of 546, 772, 690, 730, 938
• LCM of 993, 143, 756, 486, 561
• LCM of 380, 615, 422, 534, 384
• LCM of 689, 697, 574, 937, 443

1. What is the LCM of 435, 437, 136, 498, 420?

Answer: LCM of 435, 437, 136, 498, 420 is 15020546520.

2. How to calculate the LCM of 435, 437, 136, 498, 420?

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 435, 437, 136, 498, 420.

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}.