Given numbers are 741,306,596,509,990

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

The LCM of 741,306,596,509,990 is 630543590820.

Find LCM of 741,306,596,509,990 with Prime Factorization

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

2 x 3 x 3 x 247 x 17 x 298 x 509 x 55 = 630543590820

Therefore, the lowest common multiple of 741,306,596,509,990 is 630543590820.

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.

741 x 306 x 596 x 509 x 990 = 68098707808560

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

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

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

509 : 1, 509

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,306,596,509,990, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

306:2x 3x 3x 17

596:2x 2x 149

509:509

990:2x 3x 3x 5x 11

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 3 = 108

Therefore, the value for common factors is 108.

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 = 68098707808560/(1x108)

LCM = 68098707808560/108

LCM = 630543590820

Thus, we can understand that the LCM of 741,306,596,509,990 is 630543590820.

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

• LCM of 751, 266, 115, 720, 710
• LCM of 357, 459, 698, 173, 186
• LCM of 971, 905, 397, 335, 567
• LCM of 302, 376, 286, 814, 624
• LCM of 636, 256, 840, 186, 393

1. What is the LCM of 741, 306, 596, 509, 990?

Answer: LCM of 741, 306, 596, 509, 990 is 630543590820.

2. How to calculate the LCM of 741, 306, 596, 509, 990?

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 741, 306, 596, 509, 990.

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}.