Given numbers are 714,990,743,486,792

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

The LCM of 714,990,743,486,792 is 9453545640.

Find LCM of 714,990,743,486,792 with Prime Factorization

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

2 x 3 x 3 x 11 x 119 x 5 x 743 x 27 x 4 = 9453545640

Therefore, the lowest common multiple of 714,990,743,486,792 is 9453545640.

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.

714 x 990 x 743 x 486 x 792 = 202154619965760

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.

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

743 : 1, 743

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,990,743,486,792, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

990:2x 3x 3x 5x 11

743:743

486:2x 3x 3x 3x 3x 3

792:2x 2x 2x 3x 3x 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 3x 3x 3x 3x 3x 11 = 21384

Therefore, the value for common factors is 21384.

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 = 202154619965760/(1x21384)

LCM = 202154619965760/21384

LCM = 9453545640

Thus, we can understand that the LCM of 714,990,743,486,792 is 9453545640.

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

• LCM of 928, 937, 643, 515, 741
• LCM of 583, 733, 554, 798, 555
• LCM of 349, 385, 969, 477, 818
• LCM of 821, 167, 725, 898, 145
• LCM of 700, 174, 196, 428, 542

1. What is the LCM of 714, 990, 743, 486, 792?

Answer: LCM of 714, 990, 743, 486, 792 is 9453545640.

2. How to calculate the LCM of 714, 990, 743, 486, 792?

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 714, 990, 743, 486, 792.

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}.