Given numbers are 348,184,690,214,747

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

The LCM of 348,184,690,214,747 is 2132505720.

Find LCM of 348,184,690,214,747 with Prime Factorization

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

2 x 2 x 3 x 23 x 29 x 2 x 5 x 107 x 249 = 2132505720

Therefore, the lowest common multiple of 348,184,690,214,747 is 2132505720.

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 184 x 690 x 214 x 747 = 7062858944640

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

184 : 1, 2, 4, 8, 23, 46, 92, 184

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

214 : 1, 2, 107, 214

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,184,690,214,747, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

184:2x 2x 2x 23

690:2x 3x 5x 23

214:2x 107

747:3x 3x 83

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 7062858944640/(1x3312)

LCM = 7062858944640/3312

LCM = 2132505720

Thus, we can understand that the LCM of 348,184,690,214,747 is 2132505720.

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

• LCM of 443, 122, 315, 471, 582
• LCM of 931, 379, 176, 480, 907
• LCM of 776, 186, 475, 176, 118
• LCM of 153, 862, 937, 826, 150
• LCM of 851, 199, 881, 421, 911

1. What is the LCM of 348, 184, 690, 214, 747?

Answer: LCM of 348, 184, 690, 214, 747 is 2132505720.

2. How to calculate the LCM of 348, 184, 690, 214, 747?

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, 184, 690, 214, 747.

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}.