Given numbers are 689,872,654,409

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

The LCM of 689,872,654,409 is 737191416.

Find LCM of 689,872,654,409 with Prime Factorization

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

2 x 109 x 689 x 4 x 3 x 409 = 737191416

Therefore, the lowest common multiple of 689,872,654,409 is 737191416.

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 872 x 654 x 409 = 160707728688

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

654 : 1, 2, 3, 6, 109, 218, 327, 654

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,872,654,409, is 1.

Now, the common factors can be found like this.

689:13x 53

872:2x 2x 2x 109

654:2x 3x 109

409:409

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 160707728688/(1x218)

LCM = 160707728688/218

LCM = 737191416

Thus, we can understand that the LCM of 689,872,654,409 is 737191416.

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

• LCM of 661, 786, 305, 473
• LCM of 939, 343, 205, 339
• LCM of 698, 821, 213, 585
• LCM of 386, 784, 358, 848
• LCM of 443, 346, 596, 139

1. What is the LCM of 689, 872, 654, 409?

Answer: LCM of 689, 872, 654, 409 is 737191416.

2. How to calculate the LCM of 689, 872, 654, 409?

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, 872, 654, 409.

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}.