Given numbers are 894,338,342,124,460

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

The LCM of 894,338,342,124,460 is 61402861260.

Find LCM of 894,338,342,124,460 with Prime Factorization

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

2 x 2 x 3 x 149 x 169 x 57 x 31 x 115 = 61402861260

Therefore, the lowest common multiple of 894,338,342,124,460 is 61402861260.

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.

894 x 338 x 342 x 124 x 460 = 5894674680960

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

338 : 1, 2, 13, 26, 169, 338

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

124 : 1, 2, 4, 31, 62, 124

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,338,342,124,460, is 2.

Now, the common factors can be found like this.

894:2x 3x 149

338:2x 13x 13

342:2x 3x 3x 19

124:2x 2x 31

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 5894674680960/(2x48)

LCM = 5894674680960/96

LCM = 61402861260

Thus, we can understand that the LCM of 894,338,342,124,460 is 61402861260.

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

• LCM of 130, 662, 986, 968, 214
• LCM of 193, 461, 607, 356, 289
• LCM of 152, 145, 680, 670, 253
• LCM of 820, 724, 120, 215, 960
• LCM of 990, 979, 571, 924, 659

1. What is the LCM of 894, 338, 342, 124, 460?

Answer: LCM of 894, 338, 342, 124, 460 is 61402861260.

2. How to calculate the LCM of 894, 338, 342, 124, 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 894, 338, 342, 124, 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}.