Given numbers are 782,497,761,309,351

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

The LCM of 782,497,761,309,351 is 10692817135182.

Find LCM of 782,497,761,309,351 with Prime Factorization

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

3 x 782 x 497 x 761 x 103 x 117 = 10692817135182

Therefore, the lowest common multiple of 782,497,761,309,351 is 10692817135182.

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.

782 x 497 x 761 x 309 x 351 = 32078451405546

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

497 : 1, 7, 71, 497

761 : 1, 761

309 : 1, 3, 103, 309

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,497,761,309,351, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

497:7x 71

761:761

309:3x 103

351:3x 3x 3x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 32078451405546/(1x3)

LCM = 32078451405546/3

LCM = 10692817135182

Thus, we can understand that the LCM of 782,497,761,309,351 is 10692817135182.

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

• LCM of 723, 920, 562, 871, 454
• LCM of 361, 455, 379, 207, 676
• LCM of 679, 505, 569, 647, 828
• LCM of 328, 704, 281, 787, 300
• LCM of 442, 397, 733, 787, 816

1. What is the LCM of 782, 497, 761, 309, 351?

Answer: LCM of 782, 497, 761, 309, 351 is 10692817135182.

2. How to calculate the LCM of 782, 497, 761, 309, 351?

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 782, 497, 761, 309, 351.

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}.