Given numbers are 782,318,209,284

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

The LCM of 782,318,209,284 is 3690103164.

Find LCM of 782,318,209,284 with Prime Factorization

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

2 x 391 x 159 x 209 x 142 = 3690103164

Therefore, the lowest common multiple of 782,318,209,284 is 3690103164.

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 318 x 209 x 284 = 14760412656

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

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

209 : 1, 11, 19, 209

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,318,209,284, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

318:2x 3x 53

209:11x 19

284:2x 2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14760412656/(1x4)

LCM = 14760412656/4

LCM = 3690103164

Thus, we can understand that the LCM of 782,318,209,284 is 3690103164.

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

• LCM of 776, 436, 298, 752
• LCM of 775, 783, 471, 764
• LCM of 773, 689, 998, 121
• LCM of 220, 787, 482, 811
• LCM of 952, 442, 130, 123

1. What is the LCM of 782, 318, 209, 284?

Answer: LCM of 782, 318, 209, 284 is 3690103164.

2. How to calculate the LCM of 782, 318, 209, 284?

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, 318, 209, 284.

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}.