Given numbers are 807,142,507,432

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

The LCM of 807,142,507,432 is 1394379792.

Find LCM of 807,142,507,432 with Prime Factorization

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

2 x 3 x 269 x 71 x 169 x 72 = 1394379792

Therefore, the lowest common multiple of 807,142,507,432 is 1394379792.

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.

807 x 142 x 507 x 432 = 25098836256

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.

807 : 1, 3, 269, 807

142 : 1, 2, 71, 142

507 : 1, 3, 13, 39, 169, 507

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,142,507,432, is 1.

Now, the common factors can be found like this.

807:3x 269

142:2x 71

507:3x 13x 13

432:2x 2x 2x 2x 3x 3x 3

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 25098836256/(1x18)

LCM = 25098836256/18

LCM = 1394379792

Thus, we can understand that the LCM of 807,142,507,432 is 1394379792.

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

• LCM of 103, 404, 790, 398
• LCM of 870, 151, 392, 497
• LCM of 123, 830, 429, 295
• LCM of 228, 185, 648, 452
• LCM of 748, 869, 138, 592

1. What is the LCM of 807, 142, 507, 432?

Answer: LCM of 807, 142, 507, 432 is 1394379792.

2. How to calculate the LCM of 807, 142, 507, 432?

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 807, 142, 507, 432.

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}.