Given numbers are 849,778,420,306,318

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

The LCM of 849,778,420,306,318 is 124977367620.

Find LCM of 849,778,420,306,318 with Prime Factorization

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

2 x 3 x 283 x 389 x 70 x 51 x 53 = 124977367620

Therefore, the lowest common multiple of 849,778,420,306,318 is 124977367620.

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.

849 x 778 x 420 x 306 x 318 = 26995111405920

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.

849 : 1, 3, 283, 849

778 : 1, 2, 389, 778

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,778,420,306,318, is 1.

Now, the common factors can be found like this.

849:3x 283

778:2x 389

420:2x 2x 3x 5x 7

306:2x 3x 3x 17

318:2x 3x 53

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 3 = 216

Therefore, the value for common factors is 216.

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 = 26995111405920/(1x216)

LCM = 26995111405920/216

LCM = 124977367620

Thus, we can understand that the LCM of 849,778,420,306,318 is 124977367620.

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

• LCM of 780, 125, 521, 879, 225
• LCM of 463, 192, 687, 337, 604
• LCM of 625, 922, 468, 154, 727
• LCM of 496, 887, 513, 399, 222
• LCM of 316, 657, 612, 107, 762

1. What is the LCM of 849, 778, 420, 306, 318?

Answer: LCM of 849, 778, 420, 306, 318 is 124977367620.

2. How to calculate the LCM of 849, 778, 420, 306, 318?

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 849, 778, 420, 306, 318.

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}.