Given numbers are 460,862,336,274

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

The LCM of 460,862,336,274 is 2281576080.

Find LCM of 460,862,336,274 with Prime Factorization

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

2 x 2 x 115 x 431 x 84 x 137 = 2281576080

Therefore, the lowest common multiple of 460,862,336,274 is 2281576080.

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.

460 x 862 x 336 x 274 = 36505217280

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.

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

862 : 1, 2, 431, 862

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,862,336,274, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

862:2x 431

336:2x 2x 2x 2x 3x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 36505217280/(2x8)

LCM = 36505217280/16

LCM = 2281576080

Thus, we can understand that the LCM of 460,862,336,274 is 2281576080.

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

• LCM of 700, 174, 673, 341
• LCM of 472, 815, 452, 348
• LCM of 215, 844, 132, 543
• LCM of 964, 628, 423, 368
• LCM of 354, 699, 871, 436

1. What is the LCM of 460, 862, 336, 274?

Answer: LCM of 460, 862, 336, 274 is 2281576080.

2. How to calculate the LCM of 460, 862, 336, 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 460, 862, 336, 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}.