Given numbers are 459,710,936,283,387

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

The LCM of 459,710,936,283,387 is 206219281320.

Find LCM of 459,710,936,283,387 with Prime Factorization

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

2 x 3 x 3 x 51 x 355 x 52 x 283 x 43 = 206219281320

Therefore, the lowest common multiple of 459,710,936,283,387 is 206219281320.

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.

459 x 710 x 936 x 283 x 387 = 33407523573840

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

710 : 1, 2, 5, 10, 71, 142, 355, 710

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

283 : 1, 283

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,710,936,283,387, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

710:2x 5x 71

936:2x 2x 2x 3x 3x 13

283:283

387:3x 3x 43

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 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 33407523573840/(1x162)

LCM = 33407523573840/162

LCM = 206219281320

Thus, we can understand that the LCM of 459,710,936,283,387 is 206219281320.

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

• LCM of 687, 960, 993, 500, 764
• LCM of 875, 178, 572, 597, 846
• LCM of 507, 100, 272, 938, 399
• LCM of 117, 915, 639, 639, 139
• LCM of 526, 953, 334, 187, 351

1. What is the LCM of 459, 710, 936, 283, 387?

Answer: LCM of 459, 710, 936, 283, 387 is 206219281320.

2. How to calculate the LCM of 459, 710, 936, 283, 387?

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 459, 710, 936, 283, 387.

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}.