Given numbers are 349,738,462,984,114

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

The LCM of 349,738,462,984,114 is 1507252824.

Find LCM of 349,738,462,984,114 with Prime Factorization

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

2 x 3 x 41 x 349 x 3 x 77 x 4 x 19 = 1507252824

Therefore, the lowest common multiple of 349,738,462,984,114 is 1507252824.

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.

349 x 738 x 462 x 984 x 114 = 13348231009344

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.

349 : 1, 349

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,738,462,984,114, is 1.

Now, the common factors can be found like this.

349:349

738:2x 3x 3x 41

462:2x 3x 7x 11

984:2x 2x 2x 3x 41

114:2x 3x 19

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 3x 3x 3x 41 = 8856

Therefore, the value for common factors is 8856.

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 = 13348231009344/(1x8856)

LCM = 13348231009344/8856

LCM = 1507252824

Thus, we can understand that the LCM of 349,738,462,984,114 is 1507252824.

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

• LCM of 477, 256, 557, 101, 421
• LCM of 698, 818, 182, 986, 412
• LCM of 397, 157, 649, 965, 267
• LCM of 484, 520, 550, 392, 123
• LCM of 322, 839, 289, 150, 191

1. What is the LCM of 349, 738, 462, 984, 114?

Answer: LCM of 349, 738, 462, 984, 114 is 1507252824.

2. How to calculate the LCM of 349, 738, 462, 984, 114?

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 349, 738, 462, 984, 114.

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}.