Given numbers are 469,756,560,497

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

The LCM of 469,756,560,497 is 71925840.

Find LCM of 469,756,560,497 with Prime Factorization

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

2 x 2 x 7 x 67 x 27 x 20 x 71 = 71925840

Therefore, the lowest common multiple of 469,756,560,497 is 71925840.

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.

469 x 756 x 560 x 497 = 98682252480

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.

469 : 1, 7, 67, 469

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

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

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,756,560,497, is 7.

Now, the common factors can be found like this.

469:7x 67

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

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

497:7x 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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 98682252480/(7x196)

LCM = 98682252480/1372

LCM = 71925840

Thus, we can understand that the LCM of 469,756,560,497 is 71925840.

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

• LCM of 141, 840, 179, 488
• LCM of 841, 563, 960, 242
• LCM of 656, 815, 704, 372
• LCM of 220, 189, 813, 441
• LCM of 568, 245, 280, 987

1. What is the LCM of 469, 756, 560, 497?

Answer: LCM of 469, 756, 560, 497 is 71925840.

2. How to calculate the LCM of 469, 756, 560, 497?

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 469, 756, 560, 497.

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}.