Given numbers are 241,680,570,774,395

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

The LCM of 241,680,570,774,395 is 95195761560.

Find LCM of 241,680,570,774,395 with Prime Factorization

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

2 x 3 x 5 x 241 x 68 x 19 x 129 x 79 = 95195761560

Therefore, the lowest common multiple of 241,680,570,774,395 is 95195761560.

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.

241 x 680 x 570 x 774 x 395 = 28558728468000

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.

241 : 1, 241

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,680,570,774,395, is 1.

Now, the common factors can be found like this.

241:241

680:2x 2x 2x 5x 17

570:2x 3x 5x 19

774:2x 3x 3x 43

395:5x 79

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 28558728468000/(1x300)

LCM = 28558728468000/300

LCM = 95195761560

Thus, we can understand that the LCM of 241,680,570,774,395 is 95195761560.

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

• LCM of 566, 819, 957, 978, 533
• LCM of 770, 769, 864, 520, 186
• LCM of 838, 895, 516, 882, 729
• LCM of 316, 748, 792, 142, 469
• LCM of 296, 404, 719, 247, 771

1. What is the LCM of 241, 680, 570, 774, 395?

Answer: LCM of 241, 680, 570, 774, 395 is 95195761560.

2. How to calculate the LCM of 241, 680, 570, 774, 395?

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 241, 680, 570, 774, 395.

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}.