Given numbers are 689,371,577,312

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

The LCM of 689,371,577,312 is 66788904.

Find LCM of 689,371,577,312 with Prime Factorization

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

13 x 53 x 1 x 7 x 577 x 24 = 66788904

Therefore, the lowest common multiple of 689,371,577,312 is 66788904.

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 371 x 577 x 312 = 46017554856

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

371 : 1, 7, 53, 371

577 : 1, 577

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,371,577,312, is 1.

Now, the common factors can be found like this.

689:13x 53

371:7x 53

577:577

312:2x 2x 2x 3x 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 53 = 689

Therefore, the value for common factors is 689.

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 = 46017554856/(1x689)

LCM = 46017554856/689

LCM = 66788904

Thus, we can understand that the LCM of 689,371,577,312 is 66788904.

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

• LCM of 628, 761, 800, 578
• LCM of 705, 437, 322, 546
• LCM of 871, 190, 503, 883
• LCM of 642, 859, 238, 902
• LCM of 482, 910, 871, 382

1. What is the LCM of 689, 371, 577, 312?

Answer: LCM of 689, 371, 577, 312 is 66788904.

2. How to calculate the LCM of 689, 371, 577, 312?

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, 371, 577, 312.

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}.