Given numbers are 460,988,787,756

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

The LCM of 460,988,787,756 is 16900179660.

Find LCM of 460,988,787,756 with Prime Factorization

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

2 x 2 x 115 x 247 x 787 x 189 = 16900179660

Therefore, the lowest common multiple of 460,988,787,756 is 16900179660.

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.

460 x 988 x 787 x 756 = 270402874560

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

787 : 1, 787

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,988,787,756, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

988:2x 2x 13x 19

787:787

756:2x 2x 3x 3x 3x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 270402874560/(1x16)

LCM = 270402874560/16

LCM = 16900179660

Thus, we can understand that the LCM of 460,988,787,756 is 16900179660.

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

• LCM of 471, 494, 565, 928
• LCM of 755, 762, 732, 540
• LCM of 741, 549, 809, 927
• LCM of 859, 992, 252, 764
• LCM of 269, 137, 707, 688

1. What is the LCM of 460, 988, 787, 756?

Answer: LCM of 460, 988, 787, 756 is 16900179660.

2. How to calculate the LCM of 460, 988, 787, 756?

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 460, 988, 787, 756.

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}.