Given numbers are 347,149,428,986,522

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

The LCM of 347,149,428,986,522 is 98185858308.

Find LCM of 347,149,428,986,522 with Prime Factorization

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

2 x 29 x 347 x 149 x 214 x 17 x 9 = 98185858308

Therefore, the lowest common multiple of 347,149,428,986,522 is 98185858308.

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 149 x 428 x 986 x 522 = 11389559563728

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

149 : 1, 149

428 : 1, 2, 4, 107, 214, 428

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

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,149,428,986,522, is 1.

Now, the common factors can be found like this.

347:347

149:149

428:2x 2x 107

986:2x 17x 29

522:2x 3x 3x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 11389559563728/(1x116)

LCM = 11389559563728/116

LCM = 98185858308

Thus, we can understand that the LCM of 347,149,428,986,522 is 98185858308.

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

• LCM of 901, 933, 360, 739, 456
• LCM of 931, 432, 659, 385, 794
• LCM of 634, 518, 341, 256, 965
• LCM of 764, 924, 317, 212, 778
• LCM of 601, 172, 950, 695, 280

1. What is the LCM of 347, 149, 428, 986, 522?

Answer: LCM of 347, 149, 428, 986, 522 is 98185858308.

2. How to calculate the LCM of 347, 149, 428, 986, 522?

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, 149, 428, 986, 522.

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}.