Given numbers are 667,383,125,720,238

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

The LCM of 667,383,125,720,238 is 547197462000.

Find LCM of 667,383,125,720,238 with Prime Factorization

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

2 x 5 x 667 x 383 x 25 x 72 x 119 = 547197462000

Therefore, the lowest common multiple of 667,383,125,720,238 is 547197462000.

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.

667 x 383 x 125 x 720 x 238 = 5471974620000

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.

667 : 1, 23, 29, 667

383 : 1, 383

125 : 1, 5, 25, 125

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,383,125,720,238, is 1.

Now, the common factors can be found like this.

667:23x 29

383:383

125:5x 5x 5

720:2x 2x 2x 2x 3x 3x 5

238:2x 7x 17

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 5471974620000/(1x10)

LCM = 5471974620000/10

LCM = 547197462000

Thus, we can understand that the LCM of 667,383,125,720,238 is 547197462000.

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

• LCM of 456, 231, 771, 894, 379
• LCM of 217, 907, 325, 961, 399
• LCM of 340, 535, 583, 801, 728
• LCM of 843, 939, 491, 736, 303
• LCM of 285, 914, 231, 315, 168

1. What is the LCM of 667, 383, 125, 720, 238?

Answer: LCM of 667, 383, 125, 720, 238 is 547197462000.

2. How to calculate the LCM of 667, 383, 125, 720, 238?

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 667, 383, 125, 720, 238.

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}.