Given numbers are 490,596,994,468,857

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

The LCM of 490,596,994,468,857 is 1039530835980.

Find LCM of 490,596,994,468,857 with Prime Factorization

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

2 x 2 x 7 x 35 x 149 x 71 x 117 x 857 = 1039530835980

Therefore, the lowest common multiple of 490,596,994,468,857 is 1039530835980.

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.

490 x 596 x 994 x 468 x 857 = 116427453629760

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

596 : 1, 2, 4, 149, 298, 596

994 : 1, 2, 7, 14, 71, 142, 497, 994

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,596,994,468,857, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

596:2x 2x 149

994:2x 7x 71

468:2x 2x 3x 3x 13

857:857

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 7 = 112

Therefore, the value for common factors is 112.

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 = 116427453629760/(1x112)

LCM = 116427453629760/112

LCM = 1039530835980

Thus, we can understand that the LCM of 490,596,994,468,857 is 1039530835980.

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

• LCM of 876, 596, 436, 673, 754
• LCM of 519, 273, 127, 315, 127
• LCM of 665, 853, 275, 342, 182
• LCM of 328, 464, 918, 595, 544
• LCM of 150, 593, 818, 145, 432

1. What is the LCM of 490, 596, 994, 468, 857?

Answer: LCM of 490, 596, 994, 468, 857 is 1039530835980.

2. How to calculate the LCM of 490, 596, 994, 468, 857?

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 490, 596, 994, 468, 857.

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}.