Given numbers are 121,504,784,814,274

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

The LCM of 121,504,784,814,274 is 4327790544.

Find LCM of 121,504,784,814,274 with Prime Factorization

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

2 x 2 x 2 x 7 x 11 x 11 x 9 x 14 x 37 x 137 = 4327790544

Therefore, the lowest common multiple of 121,504,784,814,274 is 4327790544.

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 504 x 784 x 814 x 274 = 10663675900416

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

814 : 1, 2, 11, 22, 37, 74, 407, 814

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,504,784,814,274, is 1.

Now, the common factors can be found like this.

121:11x 11

504:2x 2x 2x 3x 3x 7

784:2x 2x 2x 2x 7x 7

814:2x 11x 37

274:2x 137

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 7x 11 = 2464

Therefore, the value for common factors is 2464.

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 = 10663675900416/(1x2464)

LCM = 10663675900416/2464

LCM = 4327790544

Thus, we can understand that the LCM of 121,504,784,814,274 is 4327790544.

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

• LCM of 574, 151, 405, 984, 528
• LCM of 287, 269, 535, 646, 492
• LCM of 309, 149, 283, 332, 841
• LCM of 670, 531, 968, 803, 368
• LCM of 579, 510, 802, 280, 836

1. What is the LCM of 121, 504, 784, 814, 274?

Answer: LCM of 121, 504, 784, 814, 274 is 4327790544.

2. How to calculate the LCM of 121, 504, 784, 814, 274?

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, 504, 784, 814, 274.

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}.