Given numbers are 714,463,511,284

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

The LCM of 714,463,511,284 is 3426813012.

Find LCM of 714,463,511,284 with Prime Factorization

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

2 x 7 x 51 x 463 x 73 x 142 = 3426813012

Therefore, the lowest common multiple of 714,463,511,284 is 3426813012.

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.

714 x 463 x 511 x 284 = 47975382168

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

463 : 1, 463

511 : 1, 7, 73, 511

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,463,511,284, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

463:463

511:7x 73

284:2x 2x 71

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 47975382168/(1x14)

LCM = 47975382168/14

LCM = 3426813012

Thus, we can understand that the LCM of 714,463,511,284 is 3426813012.

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

• LCM of 585, 648, 156, 323
• LCM of 149, 880, 314, 155
• LCM of 240, 476, 392, 148
• LCM of 308, 692, 336, 678
• LCM of 712, 853, 841, 155

1. What is the LCM of 714, 463, 511, 284?

Answer: LCM of 714, 463, 511, 284 is 3426813012.

2. How to calculate the LCM of 714, 463, 511, 284?

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 714, 463, 511, 284.

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}.