Given numbers are 781,560,497,363,147

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

The LCM of 781,560,497,363,147 is 101030160.

Find LCM of 781,560,497,363,147 with Prime Factorization

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

3 x 7 x 11 x 71 x 1 x 80 x 1 x 11 x 7 = 101030160

Therefore, the lowest common multiple of 781,560,497,363,147 is 101030160.

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.

781 x 560 x 497 x 363 x 147 = 11598969579120

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.

781 : 1, 11, 71, 781

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

497 : 1, 7, 71, 497

363 : 1, 3, 11, 33, 121, 363

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,560,497,363,147, is 1.

Now, the common factors can be found like this.

781:11x 71

560:2x 2x 2x 2x 5x 7

497:7x 71

363:3x 11x 11

147:3x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 7x 7x 11x 71 = 114807

Therefore, the value for common factors is 114807.

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 = 11598969579120/(1x114807)

LCM = 11598969579120/114807

LCM = 101030160

Thus, we can understand that the LCM of 781,560,497,363,147 is 101030160.

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

• LCM of 969, 804, 401, 478, 522
• LCM of 736, 655, 143, 433, 735
• LCM of 269, 266, 266, 403, 456
• LCM of 405, 649, 336, 664, 591
• LCM of 756, 409, 625, 879, 509

1. What is the LCM of 781, 560, 497, 363, 147?

Answer: LCM of 781, 560, 497, 363, 147 is 101030160.

2. How to calculate the LCM of 781, 560, 497, 363, 147?

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 781, 560, 497, 363, 147.

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}.