Given numbers are 169,624,345,348

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

The LCM of 169,624,345,348 is 27053520.

Find LCM of 169,624,345,348 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 4 x 115 x 29 = 27053520

Therefore, the lowest common multiple of 169,624,345,348 is 27053520.

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.

169 x 624 x 345 x 348 = 12661047360

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.

169 : 1, 13, 169

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,624,345,348, is 1.

Now, the common factors can be found like this.

169:13x 13

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

345:3x 5x 23

348:2x 2x 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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 12661047360/(1x468)

LCM = 12661047360/468

LCM = 27053520

Thus, we can understand that the LCM of 169,624,345,348 is 27053520.

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

• LCM of 211, 761, 176, 919
• LCM of 917, 973, 952, 373
• LCM of 660, 808, 812, 505
• LCM of 769, 505, 311, 527
• LCM of 397, 275, 367, 887

1. What is the LCM of 169, 624, 345, 348?

Answer: LCM of 169, 624, 345, 348 is 27053520.

2. How to calculate the LCM of 169, 624, 345, 348?

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 169, 624, 345, 348.

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}.