Given numbers are 705,130,523,566

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

The LCM of 705,130,523,566 is 2713004970.

Find LCM of 705,130,523,566 with Prime Factorization

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

2 x 5 x 141 x 13 x 523 x 283 = 2713004970

Therefore, the lowest common multiple of 705,130,523,566 is 2713004970.

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.

705 x 130 x 523 x 566 = 27130049700

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

130 : 1, 2, 5, 10, 13, 26, 65, 130

523 : 1, 523

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,130,523,566, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

130:2x 5x 13

523:523

566:2x 283

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 27130049700/(1x10)

LCM = 27130049700/10

LCM = 2713004970

Thus, we can understand that the LCM of 705,130,523,566 is 2713004970.

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

• LCM of 749, 393, 242, 146
• LCM of 435, 157, 233, 506
• LCM of 418, 715, 884, 763
• LCM of 880, 986, 579, 988
• LCM of 953, 364, 736, 314

1. What is the LCM of 705, 130, 523, 566?

Answer: LCM of 705, 130, 523, 566 is 2713004970.

2. How to calculate the LCM of 705, 130, 523, 566?

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 705, 130, 523, 566.

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}.