Given numbers are 768,228,628,473,203

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

The LCM of 768,228,628,473,203 is 219974151936.

Find LCM of 768,228,628,473,203 with Prime Factorization

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

2 x 2 x 3 x 64 x 19 x 157 x 473 x 203 = 219974151936

Therefore, the lowest common multiple of 768,228,628,473,203 is 219974151936.

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.

768 x 228 x 628 x 473 x 203 = 10558759292928

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

628 : 1, 2, 4, 157, 314, 628

473 : 1, 11, 43, 473

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,228,628,473,203, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

228:2x 2x 3x 19

628:2x 2x 157

473:11x 43

203:7x 29

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 3 = 48

Therefore, the value for common factors is 48.

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 = 10558759292928/(1x48)

LCM = 10558759292928/48

LCM = 219974151936

Thus, we can understand that the LCM of 768,228,628,473,203 is 219974151936.

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

• LCM of 633, 374, 151, 379, 175
• LCM of 946, 481, 958, 759, 721
• LCM of 772, 699, 572, 406, 928
• LCM of 327, 533, 437, 513, 298
• LCM of 137, 555, 563, 528, 624

1. What is the LCM of 768, 228, 628, 473, 203?

Answer: LCM of 768, 228, 628, 473, 203 is 219974151936.

2. How to calculate the LCM of 768, 228, 628, 473, 203?

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 768, 228, 628, 473, 203.

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}.