Given numbers are 109,624,104,349

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

The LCM of 109,624,104,349 is 23737584.

Find LCM of 109,624,104,349 with Prime Factorization

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

2 x 2 x 2 x 13 x 109 x 6 x 1 x 349 = 23737584

Therefore, the lowest common multiple of 109,624,104,349 is 23737584.

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.

109 x 624 x 104 x 349 = 2468708736

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.

109 : 1, 109

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,624,104,349, is 1.

Now, the common factors can be found like this.

109:109

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

104:2x 2x 2x 13

349:349

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 13 = 104

Therefore, the value for common factors is 104.

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 = 2468708736/(1x104)

LCM = 2468708736/104

LCM = 23737584

Thus, we can understand that the LCM of 109,624,104,349 is 23737584.

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

• LCM of 753, 211, 419, 247
• LCM of 493, 688, 845, 550
• LCM of 494, 949, 424, 800
• LCM of 687, 405, 751, 505
• LCM of 964, 525, 297, 715

1. What is the LCM of 109, 624, 104, 349?

Answer: LCM of 109, 624, 104, 349 is 23737584.

2. How to calculate the LCM of 109, 624, 104, 349?

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 109, 624, 104, 349.

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}.