Given numbers are 121,432,720,974

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

The LCM of 121,432,720,974 is 127282320.

Find LCM of 121,432,720,974 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 121 x 3 x 5 x 487 = 127282320

Therefore, the lowest common multiple of 121,432,720,974 is 127282320.

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 432 x 720 x 974 = 36657308160

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,432,720,974, is 1.

Now, the common factors can be found like this.

121:11x 11

432:2x 2x 2x 2x 3x 3x 3

720:2x 2x 2x 2x 3x 3x 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 2x 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 36657308160/(1x288)

LCM = 36657308160/288

LCM = 127282320

Thus, we can understand that the LCM of 121,432,720,974 is 127282320.

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

• LCM of 673, 502, 250, 224
• LCM of 234, 461, 419, 818
• LCM of 909, 697, 294, 157
• LCM of 910, 995, 718, 574
• LCM of 114, 509, 891, 955

1. What is the LCM of 121, 432, 720, 974?

Answer: LCM of 121, 432, 720, 974 is 127282320.

2. How to calculate the LCM of 121, 432, 720, 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, 432, 720, 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}.