Given numbers are 523,468,195,741,643

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

The LCM of 523,468,195,741,643 is 14951408940.

Find LCM of 523,468,195,741,643 with Prime Factorization

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

3 x 13 x 523 x 12 x 5 x 19 x 643 = 14951408940

Therefore, the lowest common multiple of 523,468,195,741,643 is 14951408940.

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.

523 x 468 x 195 x 741 x 643 = 22741092997740

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.

523 : 1, 523

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

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

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,468,195,741,643, is 1.

Now, the common factors can be found like this.

523:523

468:2x 2x 3x 3x 13

195:3x 5x 13

741:3x 13x 19

643:643

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

3x 3x 13x 13 = 1521

Therefore, the value for common factors is 1521.

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 = 22741092997740/(1x1521)

LCM = 22741092997740/1521

LCM = 14951408940

Thus, we can understand that the LCM of 523,468,195,741,643 is 14951408940.

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

• LCM of 978, 334, 336, 269, 271
• LCM of 278, 370, 360, 567, 726
• LCM of 525, 649, 643, 717, 907
• LCM of 984, 495, 376, 449, 410
• LCM of 779, 529, 309, 860, 523

1. What is the LCM of 523, 468, 195, 741, 643?

Answer: LCM of 523, 468, 195, 741, 643 is 14951408940.

2. How to calculate the LCM of 523, 468, 195, 741, 643?

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 523, 468, 195, 741, 643.

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}.