Given numbers are 387,409,782,219

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

The LCM of 387,409,782,219 is 9035743338.

Find LCM of 387,409,782,219 with Prime Factorization

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

3 x 129 x 409 x 782 x 73 = 9035743338

Therefore, the lowest common multiple of 387,409,782,219 is 9035743338.

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.

387 x 409 x 782 x 219 = 27107230014

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.

387 : 1, 3, 9, 43, 129, 387

409 : 1, 409

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

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,409,782,219, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

409:409

782:2x 17x 23

219:3x 73

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

3 = 3

Therefore, the value for common factors is 3.

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 = 27107230014/(1x3)

LCM = 27107230014/3

LCM = 9035743338

Thus, we can understand that the LCM of 387,409,782,219 is 9035743338.

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

• LCM of 411, 937, 788, 362
• LCM of 747, 973, 928, 536
• LCM of 497, 624, 613, 346
• LCM of 199, 209, 181, 463
• LCM of 734, 961, 743, 118

1. What is the LCM of 387, 409, 782, 219?

Answer: LCM of 387, 409, 782, 219 is 9035743338.

2. How to calculate the LCM of 387, 409, 782, 219?

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 387, 409, 782, 219.

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}.