Given numbers are 390,734,670,667,350

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

The LCM of 390,734,670,667,350 is 223871779950.

Find LCM of 390,734,670,667,350 with Prime Factorization

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

2 x 5 x 39 x 367 x 67 x 667 x 35 = 223871779950

Therefore, the lowest common multiple of 390,734,670,667,350 is 223871779950.

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.

390 x 734 x 670 x 667 x 350 = 44774355990000

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

734 : 1, 2, 367, 734

670 : 1, 2, 5, 10, 67, 134, 335, 670

667 : 1, 23, 29, 667

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,734,670,667,350, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

734:2x 367

670:2x 5x 67

667:23x 29

350:2x 5x 5x 7

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 44774355990000/(1x200)

LCM = 44774355990000/200

LCM = 223871779950

Thus, we can understand that the LCM of 390,734,670,667,350 is 223871779950.

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

• LCM of 498, 942, 274, 584, 657
• LCM of 194, 866, 476, 785, 468
• LCM of 570, 854, 308, 199, 994
• LCM of 557, 960, 542, 524, 462
• LCM of 833, 248, 470, 886, 332

1. What is the LCM of 390, 734, 670, 667, 350?

Answer: LCM of 390, 734, 670, 667, 350 is 223871779950.

2. How to calculate the LCM of 390, 734, 670, 667, 350?

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 390, 734, 670, 667, 350.

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}.