Given numbers are 460,706,449,213

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

The LCM of 460,706,449,213 is 15529536060.

Find LCM of 460,706,449,213 with Prime Factorization

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

2 x 230 x 353 x 449 x 213 = 15529536060

Therefore, the lowest common multiple of 460,706,449,213 is 15529536060.

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 706 x 449 x 213 = 31059072120

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

706 : 1, 2, 353, 706

449 : 1, 449

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,706,449,213, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

706:2x 353

449:449

213:3x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 31059072120/(1x2)

LCM = 31059072120/2

LCM = 15529536060

Thus, we can understand that the LCM of 460,706,449,213 is 15529536060.

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

• LCM of 926, 382, 192, 886
• LCM of 954, 396, 864, 746
• LCM of 194, 983, 796, 985
• LCM of 703, 466, 946, 229
• LCM of 880, 892, 109, 648

1. What is the LCM of 460, 706, 449, 213?

Answer: LCM of 460, 706, 449, 213 is 15529536060.

2. How to calculate the LCM of 460, 706, 449, 213?

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, 706, 449, 213.

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}.