Given numbers are 715,650,390,380,868

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

The LCM of 715,650,390,380,868 is 176876700.

Find LCM of 715,650,390,380,868 with Prime Factorization

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

2 x 2 x 5 x 13 x 11 x 5 x 3 x 19 x 217 = 176876700

Therefore, the lowest common multiple of 715,650,390,380,868 is 176876700.

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.

715 x 650 x 390 x 380 x 868 = 59784324600000

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,650,390,380,868, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

650:2x 5x 5x 13

390:2x 3x 5x 13

380:2x 2x 5x 19

868:2x 2x 7x 31

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 2x 5x 5x 5x 13x 13 = 338000

Therefore, the value for common factors is 338000.

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 = 59784324600000/(1x338000)

LCM = 59784324600000/338000

LCM = 176876700

Thus, we can understand that the LCM of 715,650,390,380,868 is 176876700.

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

• LCM of 399, 773, 194, 215, 695
• LCM of 730, 817, 550, 198, 854
• LCM of 990, 361, 877, 242, 112
• LCM of 704, 380, 586, 590, 280
• LCM of 535, 367, 990, 311, 870

1. What is the LCM of 715, 650, 390, 380, 868?

Answer: LCM of 715, 650, 390, 380, 868 is 176876700.

2. How to calculate the LCM of 715, 650, 390, 380, 868?

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 715, 650, 390, 380, 868.

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}.