Given numbers are 121,305,450,974

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

The LCM of 121,305,450,974 is 1617546150.

Find LCM of 121,305,450,974 with Prime Factorization

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

2 x 5 x 121 x 61 x 45 x 487 = 1617546150

Therefore, the lowest common multiple of 121,305,450,974 is 1617546150.

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.

121 x 305 x 450 x 974 = 16175461500

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.

121 : 1, 11, 121

305 : 1, 5, 61, 305

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,305,450,974, is 1.

Now, the common factors can be found like this.

121:11x 11

305:5x 61

450:2x 3x 3x 5x 5

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 16175461500/(1x10)

LCM = 16175461500/10

LCM = 1617546150

Thus, we can understand that the LCM of 121,305,450,974 is 1617546150.

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

• LCM of 964, 405, 664, 422
• LCM of 850, 597, 535, 767
• LCM of 415, 831, 899, 434
• LCM of 332, 487, 344, 929
• LCM of 474, 806, 363, 628

1. What is the LCM of 121, 305, 450, 974?

Answer: LCM of 121, 305, 450, 974 is 1617546150.

2. How to calculate the LCM of 121, 305, 450, 974?

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 121, 305, 450, 974.

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}.