Given numbers are 988,418,528,319

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

The LCM of 988,418,528,319 is 3782064.

Find LCM of 988,418,528,319 with Prime Factorization

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

2 x 2 x 11 x 19 x 13 x 1 x 12 x 29 = 3782064

Therefore, the lowest common multiple of 988,418,528,319 is 3782064.

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.

988 x 418 x 528 x 319 = 69559721088

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

418 : 1, 2, 11, 19, 22, 38, 209, 418

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,418,528,319, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

418:2x 11x 19

528:2x 2x 2x 2x 3x 11

319:11x 29

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

2x 2x 2x 11x 11x 19 = 18392

Therefore, the value for common factors is 18392.

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 = 69559721088/(1x18392)

LCM = 69559721088/18392

LCM = 3782064

Thus, we can understand that the LCM of 988,418,528,319 is 3782064.

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

• LCM of 626, 916, 152, 466
• LCM of 293, 123, 856, 563
• LCM of 553, 943, 837, 549
• LCM of 155, 245, 625, 956
• LCM of 101, 440, 881, 640

1. What is the LCM of 988, 418, 528, 319?

Answer: LCM of 988, 418, 528, 319 is 3782064.

2. How to calculate the LCM of 988, 418, 528, 319?

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 988, 418, 528, 319.

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}.