Given numbers are 978,326,624,352,873

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

The LCM of 978,326,624,352,873 is 651160224.

Find LCM of 978,326,624,352,873 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 163 x 1 x 1 x 13 x 22 x 291 = 651160224

Therefore, the lowest common multiple of 978,326,624,352,873 is 651160224.

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.

978 x 326 x 624 x 352 x 873 = 61136131110912

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

326 : 1, 2, 163, 326

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,326,624,352,873, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

326:2x 163

624:2x 2x 2x 2x 3x 13

352:2x 2x 2x 2x 2x 11

873:3x 3x 97

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 2x 2x 2x 3x 3x 163 = 93888

Therefore, the value for common factors is 93888.

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 = 61136131110912/(1x93888)

LCM = 61136131110912/93888

LCM = 651160224

Thus, we can understand that the LCM of 978,326,624,352,873 is 651160224.

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

• LCM of 898, 841, 980, 568, 262
• LCM of 508, 715, 851, 578, 642
• LCM of 438, 633, 645, 320, 480
• LCM of 413, 622, 846, 445, 805
• LCM of 531, 538, 339, 749, 582

1. What is the LCM of 978, 326, 624, 352, 873?

Answer: LCM of 978, 326, 624, 352, 873 is 651160224.

2. How to calculate the LCM of 978, 326, 624, 352, 873?

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 978, 326, 624, 352, 873.

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}.