Given numbers are 706,782,220

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

The LCM of 706,782,220 is 30365060.

Find LCM of 706,782,220 with Prime Factorization

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

2 x 353 x 391 x 110 = 30365060

Therefore, the lowest common multiple of 706,782,220 is 30365060.

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.

706 x 782 x 220 = 121460240

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.

706 : 1, 2, 353, 706

782 : 1, 2, 17, 23, 34, 46, 391, 782

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,782,220, is 2.

Now, the common factors can be found like this.

706:2x 353

782:2x 17x 23

220:2x 2x 5x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 121460240/(2x2)

LCM = 121460240/4

LCM = 30365060

Thus, we can understand that the LCM of 706,782,220 is 30365060.

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

• LCM of 472, 745, 914
• LCM of 639, 759, 730
• LCM of 889, 893, 459
• LCM of 584, 883, 250
• LCM of 701, 333, 823

1. What is the LCM of 706, 782, 220?

Answer: LCM of 706, 782, 220 is 30365060.

2. How to calculate the LCM of 706, 782, 220?

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 706, 782, 220.

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}.