Given numbers are 968,279,528,489

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

The LCM of 968,279,528,489 is 88043472.

Find LCM of 968,279,528,489 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 11 x 93 x 2 x 163 = 88043472

Therefore, the lowest common multiple of 968,279,528,489 is 88043472.

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.

968 x 279 x 528 x 489 = 69730429824

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

279 : 1, 3, 9, 31, 93, 279

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,279,528,489, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

279:3x 3x 31

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

489:3x 163

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 69730429824/(1x792)

LCM = 69730429824/792

LCM = 88043472

Thus, we can understand that the LCM of 968,279,528,489 is 88043472.

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

• LCM of 456, 143, 200, 594
• LCM of 955, 659, 857, 677
• LCM of 959, 504, 362, 784
• LCM of 383, 779, 719, 561
• LCM of 640, 862, 810, 741

1. What is the LCM of 968, 279, 528, 489?

Answer: LCM of 968, 279, 528, 489 is 88043472.

2. How to calculate the LCM of 968, 279, 528, 489?

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 968, 279, 528, 489.

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}.