Given numbers are 316,689,552,460,676

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

The LCM of 316,689,552,460,676 is 1952984280.

Find LCM of 316,689,552,460,676 with Prime Factorization

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

2 x 2 x 13 x 23 x 79 x 53 x 6 x 5 x 13 = 1952984280

Therefore, the lowest common multiple of 316,689,552,460,676 is 1952984280.

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.

316 x 689 x 552 x 460 x 676 = 37372307182080

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.

316 : 1, 2, 4, 79, 158, 316

689 : 1, 13, 53, 689

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,689,552,460,676, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

689:13x 53

552:2x 2x 2x 3x 23

460:2x 2x 5x 23

676:2x 2x 13x 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 2x 2x 2x 13x 23 = 19136

Therefore, the value for common factors is 19136.

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 = 37372307182080/(1x19136)

LCM = 37372307182080/19136

LCM = 1952984280

Thus, we can understand that the LCM of 316,689,552,460,676 is 1952984280.

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

• LCM of 913, 426, 638, 786, 464
• LCM of 883, 342, 661, 193, 878
• LCM of 159, 111, 116, 904, 156
• LCM of 741, 434, 235, 976, 713
• LCM of 844, 863, 820, 463, 442

1. What is the LCM of 316, 689, 552, 460, 676?

Answer: LCM of 316, 689, 552, 460, 676 is 1952984280.

2. How to calculate the LCM of 316, 689, 552, 460, 676?

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 316, 689, 552, 460, 676.

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}.