Given numbers are 782,221,208,939

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

The LCM of 782,221,208,939 is 76366992.

Find LCM of 782,221,208,939 with Prime Factorization

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

2 x 13 x 17 x 23 x 1 x 8 x 939 = 76366992

Therefore, the lowest common multiple of 782,221,208,939 is 76366992.

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.

782 x 221 x 208 x 939 = 33754210464

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.

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

221 : 1, 13, 17, 221

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,221,208,939, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

221:13x 17

208:2x 2x 2x 2x 13

939:3x 313

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 33754210464/(1x442)

LCM = 33754210464/442

LCM = 76366992

Thus, we can understand that the LCM of 782,221,208,939 is 76366992.

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

• LCM of 186, 734, 625, 384
• LCM of 390, 794, 739, 672
• LCM of 397, 305, 511, 522
• LCM of 657, 200, 123, 895
• LCM of 415, 443, 153, 969

1. What is the LCM of 782, 221, 208, 939?

Answer: LCM of 782, 221, 208, 939 is 76366992.

2. How to calculate the LCM of 782, 221, 208, 939?

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 782, 221, 208, 939.

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}.