Given numbers are 494,152,351,582,771

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

The LCM of 494,152,351,582,771 is 1330012008.

Find LCM of 494,152,351,582,771 with Prime Factorization

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

2 x 3 x 13 x 19 x 1 x 4 x 9 x 97 x 257 = 1330012008

Therefore, the lowest common multiple of 494,152,351,582,771 is 1330012008.

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.

494 x 152 x 351 x 582 x 771 = 11826466775136

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

152 : 1, 2, 4, 8, 19, 38, 76, 152

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,152,351,582,771, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

152:2x 2x 2x 19

351:3x 3x 3x 13

582:2x 3x 97

771:3x 257

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 3x 3x 13x 19 = 8892

Therefore, the value for common factors is 8892.

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 = 11826466775136/(1x8892)

LCM = 11826466775136/8892

LCM = 1330012008

Thus, we can understand that the LCM of 494,152,351,582,771 is 1330012008.

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

• LCM of 486, 213, 909, 150, 665
• LCM of 471, 279, 970, 655, 347
• LCM of 698, 760, 143, 899, 305
• LCM of 578, 738, 678, 952, 392
• LCM of 368, 520, 432, 568, 753

1. What is the LCM of 494, 152, 351, 582, 771?

Answer: LCM of 494, 152, 351, 582, 771 is 1330012008.

2. How to calculate the LCM of 494, 152, 351, 582, 771?

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 494, 152, 351, 582, 771.

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}.