Given numbers are 254,245,775,540,968

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

The LCM of 254,245,775,540,968 is 126049354200.

Find LCM of 254,245,775,540,968 with Prime Factorization

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

2 x 2 x 5 x 127 x 49 x 155 x 27 x 242 = 126049354200

Therefore, the lowest common multiple of 254,245,775,540,968 is 126049354200.

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.

254 x 245 x 775 x 540 x 968 = 25209870840000

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.

254 : 1, 2, 127, 254

245 : 1, 5, 7, 35, 49, 245

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

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,245,775,540,968, is 1.

Now, the common factors can be found like this.

254:2x 127

245:5x 7x 7

775:5x 5x 31

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

968:2x 2x 2x 11x 11

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 2x 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 25209870840000/(1x200)

LCM = 25209870840000/200

LCM = 126049354200

Thus, we can understand that the LCM of 254,245,775,540,968 is 126049354200.

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

• LCM of 257, 679, 393, 123, 215
• LCM of 497, 711, 459, 412, 704
• LCM of 269, 273, 598, 417, 216
• LCM of 371, 818, 105, 696, 651
• LCM of 907, 887, 215, 920, 549

1. What is the LCM of 254, 245, 775, 540, 968?

Answer: LCM of 254, 245, 775, 540, 968 is 126049354200.

2. How to calculate the LCM of 254, 245, 775, 540, 968?

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 254, 245, 775, 540, 968.

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}.