Given numbers are 914,916,497,560,169

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

The LCM of 914,916,497,560,169 is 703209554320.

Find LCM of 914,916,497,560,169 with Prime Factorization

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

2 x 2 x 7 x 457 x 229 x 71 x 20 x 169 = 703209554320

Therefore, the lowest common multiple of 914,916,497,560,169 is 703209554320.

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.

914 x 916 x 497 x 560 x 169 = 39379735041920

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.

914 : 1, 2, 457, 914

916 : 1, 2, 4, 229, 458, 916

497 : 1, 7, 71, 497

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

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,916,497,560,169, is 1.

Now, the common factors can be found like this.

914:2x 457

916:2x 2x 229

497:7x 71

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

169:13x 13

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 = 39379735041920/(1x56)

LCM = 39379735041920/56

LCM = 703209554320

Thus, we can understand that the LCM of 914,916,497,560,169 is 703209554320.

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

• LCM of 798, 585, 715, 758, 989
• LCM of 799, 147, 618, 503, 995
• LCM of 870, 480, 680, 955, 103
• LCM of 545, 179, 702, 399, 410
• LCM of 354, 895, 826, 162, 571

1. What is the LCM of 914, 916, 497, 560, 169?

Answer: LCM of 914, 916, 497, 560, 169 is 703209554320.

2. How to calculate the LCM of 914, 916, 497, 560, 169?

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 914, 916, 497, 560, 169.

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}.