Given numbers are 107,458,229,445,928

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

The LCM of 107,458,229,445,928 is 10118758880.

Find LCM of 107,458,229,445,928 with Prime Factorization

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

2 x 229 x 107 x 1 x 1 x 445 x 464 = 10118758880

Therefore, the lowest common multiple of 107,458,229,445,928 is 10118758880.

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.

107 x 458 x 229 x 445 x 928 = 4634391567040

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.

107 : 1, 107

458 : 1, 2, 229, 458

229 : 1, 229

445 : 1, 5, 89, 445

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,458,229,445,928, is 1.

Now, the common factors can be found like this.

107:107

458:2x 229

229:229

445:5x 89

928:2x 2x 2x 2x 2x 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 229 = 458

Therefore, the value for common factors is 458.

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 = 4634391567040/(1x458)

LCM = 4634391567040/458

LCM = 10118758880

Thus, we can understand that the LCM of 107,458,229,445,928 is 10118758880.

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

• LCM of 465, 439, 548, 308, 383
• LCM of 831, 265, 117, 994, 339
• LCM of 900, 300, 879, 307, 430
• LCM of 226, 144, 573, 462, 988
• LCM of 297, 424, 742, 890, 241

1. What is the LCM of 107, 458, 229, 445, 928?

Answer: LCM of 107, 458, 229, 445, 928 is 10118758880.

2. How to calculate the LCM of 107, 458, 229, 445, 928?

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 107, 458, 229, 445, 928.

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}.