Given numbers are 347,982,300,214,739

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

The LCM of 347,982,300,214,739 is 4041666156300.

Find LCM of 347,982,300,214,739 with Prime Factorization

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

2 x 347 x 491 x 150 x 107 x 739 = 4041666156300

Therefore, the lowest common multiple of 347,982,300,214,739 is 4041666156300.

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 982 x 300 x 214 x 739 = 16166664625200

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

982 : 1, 2, 491, 982

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

214 : 1, 2, 107, 214

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,982,300,214,739, is 1.

Now, the common factors can be found like this.

347:347

982:2x 491

300:2x 2x 3x 5x 5

214:2x 107

739:739

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16166664625200/(1x4)

LCM = 16166664625200/4

LCM = 4041666156300

Thus, we can understand that the LCM of 347,982,300,214,739 is 4041666156300.

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

• LCM of 872, 303, 910, 986, 197
• LCM of 972, 141, 138, 803, 686
• LCM of 890, 732, 923, 231, 908
• LCM of 471, 633, 981, 989, 500
• LCM of 694, 733, 613, 713, 131

1. What is the LCM of 347, 982, 300, 214, 739?

Answer: LCM of 347, 982, 300, 214, 739 is 4041666156300.

2. How to calculate the LCM of 347, 982, 300, 214, 739?

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, 982, 300, 214, 739.

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}.