Given numbers are 624,130,338

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

The LCM of 624,130,338 is 40560.

Find LCM of 624,130,338 with Prime Factorization

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

2 x 13 x 24 x 5 x 13 = 40560

Therefore, the lowest common multiple of 624,130,338 is 40560.

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.

624 x 130 x 338 = 27418560

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.

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

338 : 1, 2, 13, 26, 169, 338

26 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,130,338, is 26.

Now, the common factors can be found like this.

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

130:2x 5x 13

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 27418560/(26x26)

LCM = 27418560/676

LCM = 40560

Thus, we can understand that the LCM of 624,130,338 is 40560.

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

• LCM of 535, 313, 445
• LCM of 357, 310, 961
• LCM of 623, 526, 751
• LCM of 602, 450, 248
• LCM of 764, 286, 406

1. What is the LCM of 624, 130, 338?

Answer: LCM of 624, 130, 338 is 40560.

2. How to calculate the LCM of 624, 130, 338?

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 624, 130, 338.

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}.