Given numbers are 461,990,774,264,714

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

The LCM of 461,990,774,264,714 is 9341390520.

Find LCM of 461,990,774,264,714 with Prime Factorization

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

2 x 3 x 3 x 11 x 461 x 5 x 43 x 4 x 119 = 9341390520

Therefore, the lowest common multiple of 461,990,774,264,714 is 9341390520.

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.

461 x 990 x 774 x 264 x 714 = 66585431626560

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.

461 : 1, 461

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,990,774,264,714, is 1.

Now, the common factors can be found like this.

461:461

990:2x 3x 3x 5x 11

774:2x 3x 3x 43

264:2x 2x 2x 3x 11

714:2x 3x 7x 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 3x 3x 3x 3x 11 = 7128

Therefore, the value for common factors is 7128.

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 = 66585431626560/(1x7128)

LCM = 66585431626560/7128

LCM = 9341390520

Thus, we can understand that the LCM of 461,990,774,264,714 is 9341390520.

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

• LCM of 281, 418, 211, 914, 194
• LCM of 122, 144, 602, 124, 690
• LCM of 963, 462, 188, 475, 569
• LCM of 280, 358, 882, 500, 969
• LCM of 556, 534, 360, 560, 301

1. What is the LCM of 461, 990, 774, 264, 714?

Answer: LCM of 461, 990, 774, 264, 714 is 9341390520.

2. How to calculate the LCM of 461, 990, 774, 264, 714?

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 461, 990, 774, 264, 714.

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}.