Given numbers are 687,323,916,758

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

The LCM of 687,323,916,758 is 336401916.

Find LCM of 687,323,916,758 with Prime Factorization

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

2 x 229 x 3 x 323 x 2 x 379 = 336401916

Therefore, the lowest common multiple of 687,323,916,758 is 336401916.

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.

687 x 323 x 916 x 758 = 154072077528

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.

687 : 1, 3, 229, 687

323 : 1, 17, 19, 323

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

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,323,916,758, is 1.

Now, the common factors can be found like this.

687:3x 229

323:17x 19

916:2x 2x 229

758:2x 379

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 154072077528/(1x458)

LCM = 154072077528/458

LCM = 336401916

Thus, we can understand that the LCM of 687,323,916,758 is 336401916.

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

• LCM of 286, 705, 797, 354
• LCM of 182, 833, 902, 584
• LCM of 779, 260, 138, 368
• LCM of 841, 356, 714, 849
• LCM of 210, 173, 472, 428

1. What is the LCM of 687, 323, 916, 758?

Answer: LCM of 687, 323, 916, 758 is 336401916.

2. How to calculate the LCM of 687, 323, 916, 758?

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 687, 323, 916, 758.

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}.