Given numbers are 705,490,461,461

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

The LCM of 705,490,461,461 is 31850490.

Find LCM of 705,490,461,461 with Prime Factorization

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

5 x 461 x 141 x 98 x 1 x 1 = 31850490

Therefore, the lowest common multiple of 705,490,461,461 is 31850490.

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.

705 x 490 x 461 x 461 = 73415379450

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

461 : 1, 461

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,490,461,461, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

490:2x 5x 7x 7

461:461

461:461

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

5x 461 = 2305

Therefore, the value for common factors is 2305.

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 = 73415379450/(1x2305)

LCM = 73415379450/2305

LCM = 31850490

Thus, we can understand that the LCM of 705,490,461,461 is 31850490.

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

• LCM of 721, 323, 521, 779
• LCM of 764, 752, 322, 345
• LCM of 967, 675, 737, 796
• LCM of 343, 644, 684, 156
• LCM of 802, 323, 695, 920

1. What is the LCM of 705, 490, 461, 461?

Answer: LCM of 705, 490, 461, 461 is 31850490.

2. How to calculate the LCM of 705, 490, 461, 461?

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 705, 490, 461, 461.

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}.