Given numbers are 689,910,657,416

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

The LCM of 689,910,657,416 is 506993760.

Find LCM of 689,910,657,416 with Prime Factorization

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

2 x 13 x 53 x 35 x 657 x 16 = 506993760

Therefore, the lowest common multiple of 689,910,657,416 is 506993760.

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.

689 x 910 x 657 x 416 = 171363890880

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.

689 : 1, 13, 53, 689

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

657 : 1, 3, 9, 73, 219, 657

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,910,657,416, is 1.

Now, the common factors can be found like this.

689:13x 53

910:2x 5x 7x 13

657:3x 3x 73

416:2x 2x 2x 2x 2x 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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 171363890880/(1x338)

LCM = 171363890880/338

LCM = 506993760

Thus, we can understand that the LCM of 689,910,657,416 is 506993760.

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

• LCM of 568, 808, 938, 686
• LCM of 924, 639, 761, 185
• LCM of 459, 394, 423, 443
• LCM of 784, 227, 216, 850
• LCM of 782, 963, 792, 673

1. What is the LCM of 689, 910, 657, 416?

Answer: LCM of 689, 910, 657, 416 is 506993760.

2. How to calculate the LCM of 689, 910, 657, 416?

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 689, 910, 657, 416.

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}.