Given numbers are 494,397,892,338,630

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

The LCM of 494,397,892,338,630 is 358184031660.

Find LCM of 494,397,892,338,630 with Prime Factorization

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

2 x 13 x 19 x 397 x 446 x 13 x 315 = 358184031660

Therefore, the lowest common multiple of 494,397,892,338,630 is 358184031660.

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 397 x 892 x 338 x 630 = 37251139292640

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

397 : 1, 397

892 : 1, 2, 4, 223, 446, 892

338 : 1, 2, 13, 26, 169, 338

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,397,892,338,630, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

397:397

892:2x 2x 223

338:2x 13x 13

630:2x 3x 3x 5x 7

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 13 = 104

Therefore, the value for common factors is 104.

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 = 37251139292640/(1x104)

LCM = 37251139292640/104

LCM = 358184031660

Thus, we can understand that the LCM of 494,397,892,338,630 is 358184031660.

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

• LCM of 177, 300, 304, 408, 592
• LCM of 459, 999, 573, 176, 694
• LCM of 806, 458, 707, 372, 142
• LCM of 163, 812, 870, 862, 900
• LCM of 624, 918, 608, 556, 501

1. What is the LCM of 494, 397, 892, 338, 630?

Answer: LCM of 494, 397, 892, 338, 630 is 358184031660.

2. How to calculate the LCM of 494, 397, 892, 338, 630?

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, 397, 892, 338, 630.

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}.