Given numbers are 987,468,948,312,176

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

The LCM of 987,468,948,312,176 is 535206672.

Find LCM of 987,468,948,312,176 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 329 x 1 x 79 x 3 x 22 = 535206672

Therefore, the lowest common multiple of 987,468,948,312,176 is 535206672.

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.

987 x 468 x 948 x 312 x 176 = 24045765359616

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,468,948,312,176, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

468:2x 2x 3x 3x 13

948:2x 2x 3x 79

312:2x 2x 2x 3x 13

176:2x 2x 2x 2x 11

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 2x 3x 3x 3x 13 = 44928

Therefore, the value for common factors is 44928.

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 = 24045765359616/(1x44928)

LCM = 24045765359616/44928

LCM = 535206672

Thus, we can understand that the LCM of 987,468,948,312,176 is 535206672.

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

• LCM of 445, 565, 150, 608, 428
• LCM of 205, 533, 245, 438, 954
• LCM of 236, 490, 128, 273, 715
• LCM of 547, 897, 568, 594, 592
• LCM of 751, 226, 839, 577, 710

1. What is the LCM of 987, 468, 948, 312, 176?

Answer: LCM of 987, 468, 948, 312, 176 is 535206672.

2. How to calculate the LCM of 987, 468, 948, 312, 176?

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 987, 468, 948, 312, 176.

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}.