Given numbers are 969,471,497,486,352

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

The LCM of 969,471,497,486,352 is 2155795199712.

Find LCM of 969,471,497,486,352 with Prime Factorization

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

2 x 3 x 323 x 157 x 497 x 81 x 176 = 2155795199712

Therefore, the lowest common multiple of 969,471,497,486,352 is 2155795199712.

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.

969 x 471 x 497 x 486 x 352 = 38804313594816

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

471 : 1, 3, 157, 471

497 : 1, 7, 71, 497

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,471,497,486,352, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

471:3x 157

497:7x 71

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

352:2x 2x 2x 2x 2x 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 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 = 38804313594816/(1x18)

LCM = 38804313594816/18

LCM = 2155795199712

Thus, we can understand that the LCM of 969,471,497,486,352 is 2155795199712.

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

• LCM of 743, 426, 802, 398, 753
• LCM of 901, 903, 124, 364, 619
• LCM of 570, 213, 293, 622, 835
• LCM of 492, 542, 543, 158, 261
• LCM of 760, 636, 896, 388, 165

1. What is the LCM of 969, 471, 497, 486, 352?

Answer: LCM of 969, 471, 497, 486, 352 is 2155795199712.

2. How to calculate the LCM of 969, 471, 497, 486, 352?

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 969, 471, 497, 486, 352.

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}.