Given numbers are 347,214,460,694

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

The LCM of 347,214,460,694 is 17079340.

Find LCM of 347,214,460,694 with Prime Factorization

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

2 x 347 x 1 x 107 x 230 x 1 = 17079340

Therefore, the lowest common multiple of 347,214,460,694 is 17079340.

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.

347 x 214 x 460 x 694 = 23706123920

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.

347 : 1, 347

214 : 1, 2, 107, 214

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

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,214,460,694, is 1.

Now, the common factors can be found like this.

347:347

214:2x 107

460:2x 2x 5x 23

694:2x 347

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 347 = 1388

Therefore, the value for common factors is 1388.

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 = 23706123920/(1x1388)

LCM = 23706123920/1388

LCM = 17079340

Thus, we can understand that the LCM of 347,214,460,694 is 17079340.

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

• LCM of 113, 193, 109, 931
• LCM of 497, 500, 826, 200
• LCM of 160, 161, 487, 575
• LCM of 539, 681, 400, 916
• LCM of 208, 541, 588, 899

1. What is the LCM of 347, 214, 460, 694?

Answer: LCM of 347, 214, 460, 694 is 17079340.

2. How to calculate the LCM of 347, 214, 460, 694?

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 347, 214, 460, 694.

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}.