Given numbers are 238,904,823,540,778

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

The LCM of 238,904,823,540,778 is 4649418045720.

Find LCM of 238,904,823,540,778 with Prime Factorization

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

2 x 2 x 119 x 226 x 823 x 135 x 389 = 4649418045720

Therefore, the lowest common multiple of 238,904,823,540,778 is 4649418045720.

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.

238 x 904 x 823 x 540 x 778 = 74390688731520

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

904 : 1, 2, 4, 8, 113, 226, 452, 904

823 : 1, 823

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

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,904,823,540,778, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

904:2x 2x 2x 113

823:823

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

778:2x 389

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 2 = 16

Therefore, the value for common factors is 16.

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 = 74390688731520/(1x16)

LCM = 74390688731520/16

LCM = 4649418045720

Thus, we can understand that the LCM of 238,904,823,540,778 is 4649418045720.

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

• LCM of 903, 635, 714, 659, 229
• LCM of 127, 899, 849, 200, 596
• LCM of 983, 830, 397, 933, 357
• LCM of 840, 433, 592, 379, 219
• LCM of 884, 829, 284, 245, 873

1. What is the LCM of 238, 904, 823, 540, 778?

Answer: LCM of 238, 904, 823, 540, 778 is 4649418045720.

2. How to calculate the LCM of 238, 904, 823, 540, 778?

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 238, 904, 823, 540, 778.

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}.