Given numbers are 354,302,113,916,460

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

The LCM of 354,302,113,916,460 is 318142706340.

Find LCM of 354,302,113,916,460 with Prime Factorization

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

2 x 2 x 177 x 151 x 113 x 229 x 115 = 318142706340

Therefore, the lowest common multiple of 354,302,113,916,460 is 318142706340.

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.

354 x 302 x 113 x 916 x 460 = 5090283301440

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

302 : 1, 2, 151, 302

113 : 1, 113

916 : 1, 2, 4, 229, 458, 916

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,302,113,916,460, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

302:2x 151

113:113

916:2x 2x 229

460:2x 2x 5x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 5090283301440/(1x16)

LCM = 5090283301440/16

LCM = 318142706340

Thus, we can understand that the LCM of 354,302,113,916,460 is 318142706340.

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

• LCM of 510, 475, 345, 393, 543
• LCM of 149, 158, 666, 906, 990
• LCM of 504, 791, 957, 942, 692
• LCM of 448, 144, 839, 384, 189
• LCM of 660, 992, 601, 238, 860

1. What is the LCM of 354, 302, 113, 916, 460?

Answer: LCM of 354, 302, 113, 916, 460 is 318142706340.

2. How to calculate the LCM of 354, 302, 113, 916, 460?

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 354, 302, 113, 916, 460.

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}.