Given numbers are 141,540,721,578,705

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

The LCM of 141,540,721,578,705 is 5288405220.

Find LCM of 141,540,721,578,705 with Prime Factorization

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

2 x 3 x 5 x 47 x 1 x 18 x 721 x 289 x 1 = 5288405220

Therefore, the lowest common multiple of 141,540,721,578,705 is 5288405220.

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.

141 x 540 x 721 x 578 x 705 = 22369954080600

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.

141 : 1, 3, 47, 141

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

721 : 1, 7, 103, 721

578 : 1, 2, 17, 34, 289, 578

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,540,721,578,705, is 1.

Now, the common factors can be found like this.

141:3x 47

540:2x 2x 3x 3x 3x 5

721:7x 103

578:2x 17x 17

705:3x 5x 47

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

2x 3x 3x 5x 47 = 4230

Therefore, the value for common factors is 4230.

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 = 22369954080600/(1x4230)

LCM = 22369954080600/4230

LCM = 5288405220

Thus, we can understand that the LCM of 141,540,721,578,705 is 5288405220.

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

• LCM of 480, 989, 785, 547, 782
• LCM of 265, 191, 932, 288, 451
• LCM of 166, 380, 353, 114, 657
• LCM of 232, 100, 964, 753, 935
• LCM of 132, 589, 512, 984, 924

1. What is the LCM of 141, 540, 721, 578, 705?

Answer: LCM of 141, 540, 721, 578, 705 is 5288405220.

2. How to calculate the LCM of 141, 540, 721, 578, 705?

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 141, 540, 721, 578, 705.

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}.