Given numbers are 226,798,524,774,528

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

The LCM of 226,798,524,774,528 is 134098837488.

Find LCM of 226,798,524,774,528 with Prime Factorization

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

2 x 2 x 3 x 113 x 133 x 131 x 129 x 44 = 134098837488

Therefore, the lowest common multiple of 226,798,524,774,528 is 134098837488.

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.

226 x 798 x 524 x 774 x 528 = 38620465196544

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.

226 : 1, 2, 113, 226

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

524 : 1, 2, 4, 131, 262, 524

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,798,524,774,528, is 2.

Now, the common factors can be found like this.

226:2x 113

798:2x 3x 7x 19

524:2x 2x 131

774:2x 3x 3x 43

528:2x 2x 2x 2x 3x 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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 38620465196544/(2x144)

LCM = 38620465196544/288

LCM = 134098837488

Thus, we can understand that the LCM of 226,798,524,774,528 is 134098837488.

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

• LCM of 935, 563, 476, 509, 766
• LCM of 665, 507, 922, 388, 355
• LCM of 704, 669, 218, 222, 356
• LCM of 197, 427, 352, 801, 110
• LCM of 669, 815, 787, 188, 976

1. What is the LCM of 226, 798, 524, 774, 528?

Answer: LCM of 226, 798, 524, 774, 528 is 134098837488.

2. How to calculate the LCM of 226, 798, 524, 774, 528?

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 226, 798, 524, 774, 528.

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}.