Given numbers are 720,381,627,714

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

The LCM of 720,381,627,714 is 2274204240.

Find LCM of 720,381,627,714 with Prime Factorization

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

2 x 3 x 120 x 127 x 209 x 119 = 2274204240

Therefore, the lowest common multiple of 720,381,627,714 is 2274204240.

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.

720 x 381 x 627 x 714 = 122807028960

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.

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

381 : 1, 3, 127, 381

627 : 1, 3, 11, 19, 33, 57, 209, 627

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,381,627,714, is 3.

Now, the common factors can be found like this.

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

381:3x 127

627:3x 11x 19

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 122807028960/(3x18)

LCM = 122807028960/54

LCM = 2274204240

Thus, we can understand that the LCM of 720,381,627,714 is 2274204240.

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

• LCM of 175, 936, 566, 540
• LCM of 997, 557, 106, 484
• LCM of 750, 843, 677, 774
• LCM of 325, 250, 368, 384
• LCM of 325, 438, 394, 162

1. What is the LCM of 720, 381, 627, 714?

Answer: LCM of 720, 381, 627, 714 is 2274204240.

2. How to calculate the LCM of 720, 381, 627, 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 720, 381, 627, 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}.