Given numbers are 121,238,282,408,900

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

The LCM of 121,238,282,408,900 is 1218155400.

Find LCM of 121,238,282,408,900 with Prime Factorization

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

2 x 2 x 3 x 17 x 121 x 7 x 47 x 2 x 75 = 1218155400

Therefore, the lowest common multiple of 121,238,282,408,900 is 1218155400.

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 238 x 282 x 408 x 900 = 2982044419200

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

282 : 1, 2, 3, 6, 47, 94, 141, 282

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,238,282,408,900, is 1.

Now, the common factors can be found like this.

121:11x 11

238:2x 7x 17

282:2x 3x 47

408:2x 2x 2x 3x 17

900:2x 2x 3x 3x 5x 5

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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 2982044419200/(1x2448)

LCM = 2982044419200/2448

LCM = 1218155400

Thus, we can understand that the LCM of 121,238,282,408,900 is 1218155400.

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

• LCM of 669, 138, 929, 206, 283
• LCM of 557, 911, 278, 193, 170
• LCM of 451, 355, 298, 706, 145
• LCM of 634, 628, 685, 361, 853
• LCM of 838, 296, 555, 415, 287

1. What is the LCM of 121, 238, 282, 408, 900?

Answer: LCM of 121, 238, 282, 408, 900 is 1218155400.

2. How to calculate the LCM of 121, 238, 282, 408, 900?

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, 238, 282, 408, 900.

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}.