Given numbers are 388,323,970,714,220

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

The LCM of 388,323,970,714,220 is 144749220.

Find LCM of 388,323,970,714,220 with Prime Factorization

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

2 x 2 x 5 x 17 x 97 x 1 x 19 x 1 x 21 x 11 = 144749220

Therefore, the lowest common multiple of 388,323,970,714,220 is 144749220.

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.

388 x 323 x 970 x 714 x 220 = 19095317102400

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.

388 : 1, 2, 4, 97, 194, 388

323 : 1, 17, 19, 323

970 : 1, 2, 5, 10, 97, 194, 485, 970

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,323,970,714,220, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

323:17x 19

970:2x 5x 97

714:2x 3x 7x 17

220:2x 2x 5x 11

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 17x 97 = 131920

Therefore, the value for common factors is 131920.

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 = 19095317102400/(1x131920)

LCM = 19095317102400/131920

LCM = 144749220

Thus, we can understand that the LCM of 388,323,970,714,220 is 144749220.

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

• LCM of 387, 295, 585, 648, 871
• LCM of 799, 791, 526, 946, 177
• LCM of 540, 297, 910, 697, 894
• LCM of 870, 334, 829, 602, 969
• LCM of 652, 673, 765, 458, 595

1. What is the LCM of 388, 323, 970, 714, 220?

Answer: LCM of 388, 323, 970, 714, 220 is 144749220.

2. How to calculate the LCM of 388, 323, 970, 714, 220?

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 388, 323, 970, 714, 220.

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}.