Given numbers are 386,170,986,612,714

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

The LCM of 386,170,986,612,714 is 119887740.

Find LCM of 386,170,986,612,714 with Prime Factorization

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

2 x 3 x 17 x 193 x 5 x 29 x 6 x 7 = 119887740

Therefore, the lowest common multiple of 386,170,986,612,714 is 119887740.

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.

386 x 170 x 986 x 612 x 714 = 28272406397760

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.

386 : 1, 2, 193, 386

170 : 1, 2, 5, 10, 17, 34, 85, 170

986 : 1, 2, 17, 29, 34, 58, 493, 986

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,170,986,612,714, is 2.

Now, the common factors can be found like this.

386:2x 193

170:2x 5x 17

986:2x 17x 29

612:2x 2x 3x 3x 17

714:2x 3x 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 2x 2x 3x 17x 17x 17 = 117912

Therefore, the value for common factors is 117912.

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 = 28272406397760/(2x117912)

LCM = 28272406397760/235824

LCM = 119887740

Thus, we can understand that the LCM of 386,170,986,612,714 is 119887740.

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

• LCM of 315, 583, 318, 700, 391
• LCM of 564, 919, 781, 900, 416
• LCM of 707, 160, 302, 708, 264
• LCM of 532, 266, 581, 507, 134
• LCM of 531, 481, 578, 110, 922

1. What is the LCM of 386, 170, 986, 612, 714?

Answer: LCM of 386, 170, 986, 612, 714 is 119887740.

2. How to calculate the LCM of 386, 170, 986, 612, 714?

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 386, 170, 986, 612, 714.

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}.