Given numbers are 348,986,493,868,214

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

The LCM of 348,986,493,868,214 is 137363604.

Find LCM of 348,986,493,868,214 with Prime Factorization

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

2 x 2 x 17 x 29 x 3 x 1 x 1 x 217 x 107 = 137363604

Therefore, the lowest common multiple of 348,986,493,868,214 is 137363604.

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.

348 x 986 x 493 x 868 x 214 = 31422199142208

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

986 : 1, 2, 17, 29, 34, 58, 493, 986

493 : 1, 17, 29, 493

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,986,493,868,214, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

986:2x 17x 29

493:17x 29

868:2x 2x 7x 31

214:2x 107

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 17x 29x 29 = 228752

Therefore, the value for common factors is 228752.

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 = 31422199142208/(1x228752)

LCM = 31422199142208/228752

LCM = 137363604

Thus, we can understand that the LCM of 348,986,493,868,214 is 137363604.

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

• LCM of 756, 165, 695, 844, 129
• LCM of 718, 958, 821, 578, 893
• LCM of 834, 895, 631, 437, 455
• LCM of 531, 748, 137, 152, 583
• LCM of 857, 864, 561, 150, 963

1. What is the LCM of 348, 986, 493, 868, 214?

Answer: LCM of 348, 986, 493, 868, 214 is 137363604.

2. How to calculate the LCM of 348, 986, 493, 868, 214?

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 348, 986, 493, 868, 214.

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}.