Given numbers are 975,720,966,382,781

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

The LCM of 975,720,966,382,781 is 1123973650800.

Find LCM of 975,720,966,382,781 with Prime Factorization

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

2 x 3 x 5 x 65 x 24 x 161 x 191 x 781 = 1123973650800

Therefore, the lowest common multiple of 975,720,966,382,781 is 1123973650800.

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.

975 x 720 x 966 x 382 x 781 = 202315257144000

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

382 : 1, 2, 191, 382

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,720,966,382,781, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

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

966:2x 3x 7x 23

382:2x 191

781:11x 71

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 202315257144000/(1x180)

LCM = 202315257144000/180

LCM = 1123973650800

Thus, we can understand that the LCM of 975,720,966,382,781 is 1123973650800.

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

• LCM of 517, 957, 784, 976, 200
• LCM of 721, 856, 558, 406, 417
• LCM of 759, 566, 693, 970, 466
• LCM of 961, 692, 883, 110, 537
• LCM of 631, 504, 977, 571, 468

1. What is the LCM of 975, 720, 966, 382, 781?

Answer: LCM of 975, 720, 966, 382, 781 is 1123973650800.

2. How to calculate the LCM of 975, 720, 966, 382, 781?

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 975, 720, 966, 382, 781.

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}.