Given numbers are 349,408,624,464

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

The LCM of 349,408,624,464 is 107363568.

Find LCM of 349,408,624,464 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 349 x 17 x 13 x 29 = 107363568

Therefore, the lowest common multiple of 349,408,624,464 is 107363568.

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 408 x 624 x 464 = 41227610112

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,408,624,464, is 1.

Now, the common factors can be found like this.

349:349

408:2x 2x 2x 3x 17

624:2x 2x 2x 2x 3x 13

464:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 41227610112/(1x384)

LCM = 41227610112/384

LCM = 107363568

Thus, we can understand that the LCM of 349,408,624,464 is 107363568.

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

• LCM of 535, 438, 522, 646
• LCM of 146, 767, 243, 549
• LCM of 612, 120, 374, 799
• LCM of 972, 257, 286, 189
• LCM of 215, 513, 965, 443

1. What is the LCM of 349, 408, 624, 464?

Answer: LCM of 349, 408, 624, 464 is 107363568.

2. How to calculate the LCM of 349, 408, 624, 464?

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, 408, 624, 464.

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}.