Given numbers are 705,490,835

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

The LCM of 705,490,835 is 11538030.

Find LCM of 705,490,835 with Prime Factorization

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

5 x 141 x 98 x 167 = 11538030

Therefore, the lowest common multiple of 705,490,835 is 11538030.

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 835 = 288450750

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

835 : 1, 5, 167, 835

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,490,835, is 5.

Now, the common factors can be found like this.

705:3x 5x 47

490:2x 5x 7x 7

835:5x 167

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

5 = 5

Therefore, the value for common factors is 5.

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 = 288450750/(5x5)

LCM = 288450750/25

LCM = 11538030

Thus, we can understand that the LCM of 705,490,835 is 11538030.

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

• LCM of 632, 614, 350
• LCM of 778, 927, 546
• LCM of 381, 861, 357
• LCM of 641, 879, 919
• LCM of 258, 733, 605

1. What is the LCM of 705, 490, 835?

Answer: LCM of 705, 490, 835 is 11538030.

2. How to calculate the LCM of 705, 490, 835?

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, 835.

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}.