Given numbers are 982,756,784,470

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

The LCM of 982,756,784,470 is 2442469680.

Find LCM of 982,756,784,470 with Prime Factorization

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

2 x 2 x 7 x 491 x 27 x 28 x 235 = 2442469680

Therefore, the lowest common multiple of 982,756,784,470 is 2442469680.

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.

982 x 756 x 784 x 470 = 273556604160

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.

982 : 1, 2, 491, 982

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,756,784,470, is 2.

Now, the common factors can be found like this.

982:2x 491

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

784:2x 2x 2x 2x 7x 7

470:2x 5x 47

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 7 = 56

Therefore, the value for common factors is 56.

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 = 273556604160/(2x56)

LCM = 273556604160/112

LCM = 2442469680

Thus, we can understand that the LCM of 982,756,784,470 is 2442469680.

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

• LCM of 497, 129, 675, 707
• LCM of 382, 584, 361, 741
• LCM of 294, 400, 274, 297
• LCM of 537, 480, 696, 415
• LCM of 124, 305, 398, 672

1. What is the LCM of 982, 756, 784, 470?

Answer: LCM of 982, 756, 784, 470 is 2442469680.

2. How to calculate the LCM of 982, 756, 784, 470?

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 982, 756, 784, 470.

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}.