Given numbers are 135,248,789,446,924

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

The LCM of 135,248,789,446,924 is 151194776040.

Find LCM of 135,248,789,446,924 with Prime Factorization

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

2 x 2 x 3 x 45 x 62 x 263 x 223 x 77 = 151194776040

Therefore, the lowest common multiple of 135,248,789,446,924 is 151194776040.

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.

135 x 248 x 789 x 446 x 924 = 10886023874880

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

248 : 1, 2, 4, 8, 31, 62, 124, 248

789 : 1, 3, 263, 789

446 : 1, 2, 223, 446

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,248,789,446,924, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

248:2x 2x 2x 31

789:3x 263

446:2x 223

924:2x 2x 3x 7x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 10886023874880/(1x72)

LCM = 10886023874880/72

LCM = 151194776040

Thus, we can understand that the LCM of 135,248,789,446,924 is 151194776040.

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

• LCM of 914, 481, 890, 679, 633
• LCM of 621, 408, 822, 619, 164
• LCM of 733, 905, 617, 779, 918
• LCM of 254, 219, 401, 916, 884
• LCM of 115, 689, 583, 278, 558

1. What is the LCM of 135, 248, 789, 446, 924?

Answer: LCM of 135, 248, 789, 446, 924 is 151194776040.

2. How to calculate the LCM of 135, 248, 789, 446, 924?

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 135, 248, 789, 446, 924.

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}.