Given numbers are 241,214,728,775,618

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

The LCM of 241,214,728,775,618 is 4495648848600.

Find LCM of 241,214,728,775,618 with Prime Factorization

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

2 x 241 x 107 x 364 x 775 x 309 = 4495648848600

Therefore, the lowest common multiple of 241,214,728,775,618 is 4495648848600.

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 214 x 728 x 775 x 618 = 17982595394400

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

214 : 1, 2, 107, 214

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

775 : 1, 5, 25, 31, 155, 775

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,214,728,775,618, is 1.

Now, the common factors can be found like this.

241:241

214:2x 107

728:2x 2x 2x 7x 13

775:5x 5x 31

618:2x 3x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17982595394400/(1x4)

LCM = 17982595394400/4

LCM = 4495648848600

Thus, we can understand that the LCM of 241,214,728,775,618 is 4495648848600.

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

• LCM of 928, 690, 765, 195, 330
• LCM of 876, 896, 829, 906, 845
• LCM of 596, 671, 965, 150, 297
• LCM of 483, 464, 554, 945, 609
• LCM of 791, 809, 649, 935, 989

1. What is the LCM of 241, 214, 728, 775, 618?

Answer: LCM of 241, 214, 728, 775, 618 is 4495648848600.

2. How to calculate the LCM of 241, 214, 728, 775, 618?

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, 214, 728, 775, 618.

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}.