Given numbers are 416,565,689,507

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

The LCM of 416,565,689,507 is 485827680.

Find LCM of 416,565,689,507 with Prime Factorization

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

13 x 32 x 565 x 53 x 39 = 485827680

Therefore, the lowest common multiple of 416,565,689,507 is 485827680.

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.

416 x 565 x 689 x 507 = 82104877920

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

565 : 1, 5, 113, 565

689 : 1, 13, 53, 689

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,565,689,507, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

565:5x 113

689:13x 53

507:3x 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.

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 82104877920/(1x169)

LCM = 82104877920/169

LCM = 485827680

Thus, we can understand that the LCM of 416,565,689,507 is 485827680.

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

• LCM of 792, 464, 751, 902
• LCM of 196, 114, 769, 618
• LCM of 476, 662, 142, 112
• LCM of 322, 601, 464, 579
• LCM of 854, 949, 383, 193

1. What is the LCM of 416, 565, 689, 507?

Answer: LCM of 416, 565, 689, 507 is 485827680.

2. How to calculate the LCM of 416, 565, 689, 507?

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 416, 565, 689, 507.

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}.