Given numbers are 268,970,493,546,977

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

The LCM of 268,970,493,546,977 is 17091519020940.

Find LCM of 268,970,493,546,977 with Prime Factorization

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

2 x 134 x 485 x 493 x 273 x 977 = 17091519020940

Therefore, the lowest common multiple of 268,970,493,546,977 is 17091519020940.

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.

268 x 970 x 493 x 546 x 977 = 68366076083760

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.

268 : 1, 2, 4, 67, 134, 268

970 : 1, 2, 5, 10, 97, 194, 485, 970

493 : 1, 17, 29, 493

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,970,493,546,977, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

970:2x 5x 97

493:17x 29

546:2x 3x 7x 13

977:977

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 68366076083760/(1x4)

LCM = 68366076083760/4

LCM = 17091519020940

Thus, we can understand that the LCM of 268,970,493,546,977 is 17091519020940.

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

• LCM of 834, 738, 309, 433, 502
• LCM of 938, 801, 407, 326, 628
• LCM of 426, 688, 735, 802, 729
• LCM of 713, 407, 496, 953, 238
• LCM of 769, 980, 951, 589, 862

1. What is the LCM of 268, 970, 493, 546, 977?

Answer: LCM of 268, 970, 493, 546, 977 is 17091519020940.

2. How to calculate the LCM of 268, 970, 493, 546, 977?

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 268, 970, 493, 546, 977.

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}.