Given numbers are 771,363,812,417,306

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

The LCM of 771,363,812,417,306 is 537007997988.

Find LCM of 771,363,812,417,306 with Prime Factorization

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

2 x 3 x 257 x 121 x 406 x 139 x 51 = 537007997988

Therefore, the lowest common multiple of 771,363,812,417,306 is 537007997988.

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.

771 x 363 x 812 x 417 x 306 = 28998431891352

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.

771 : 1, 3, 257, 771

363 : 1, 3, 11, 33, 121, 363

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

417 : 1, 3, 139, 417

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,363,812,417,306, is 1.

Now, the common factors can be found like this.

771:3x 257

363:3x 11x 11

812:2x 2x 7x 29

417:3x 139

306:2x 3x 3x 17

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 28998431891352/(1x54)

LCM = 28998431891352/54

LCM = 537007997988

Thus, we can understand that the LCM of 771,363,812,417,306 is 537007997988.

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

• LCM of 420, 895, 139, 173, 869
• LCM of 198, 982, 754, 848, 292
• LCM of 726, 715, 759, 968, 983
• LCM of 970, 927, 259, 376, 760
• LCM of 260, 495, 601, 914, 359

1. What is the LCM of 771, 363, 812, 417, 306?

Answer: LCM of 771, 363, 812, 417, 306 is 537007997988.

2. How to calculate the LCM of 771, 363, 812, 417, 306?

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 771, 363, 812, 417, 306.

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}.