Given numbers are 676,987,513,290,416

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

The LCM of 676,987,513,290,416 is 132348172320.

Find LCM of 676,987,513,290,416 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 329 x 171 x 145 x 8 = 132348172320

Therefore, the lowest common multiple of 676,987,513,290,416 is 132348172320.

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.

676 x 987 x 513 x 290 x 416 = 41292629763840

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

290 : 1, 2, 5, 10, 29, 58, 145, 290

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,987,513,290,416, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

987:3x 7x 47

513:3x 3x 3x 19

290:2x 5x 29

416:2x 2x 2x 2x 2x 13

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 13 = 312

Therefore, the value for common factors is 312.

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 = 41292629763840/(1x312)

LCM = 41292629763840/312

LCM = 132348172320

Thus, we can understand that the LCM of 676,987,513,290,416 is 132348172320.

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

• LCM of 760, 764, 850, 464, 213
• LCM of 526, 891, 665, 248, 260
• LCM of 971, 924, 534, 941, 861
• LCM of 749, 890, 923, 493, 242
• LCM of 280, 538, 242, 950, 189

1. What is the LCM of 676, 987, 513, 290, 416?

Answer: LCM of 676, 987, 513, 290, 416 is 132348172320.

2. How to calculate the LCM of 676, 987, 513, 290, 416?

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 676, 987, 513, 290, 416.

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}.