Given numbers are 624,696,975,338

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

The LCM of 624,696,975,338 is 5881200.

Find LCM of 624,696,975,338 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 2 x 29 x 25 x 13 = 5881200

Therefore, the lowest common multiple of 624,696,975,338 is 5881200.

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 696 x 975 x 338 = 143124883200

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,696,975,338, is 1.

Now, the common factors can be found like this.

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

696:2x 2x 2x 3x 29

975:3x 5x 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 2x 2x 2x 3x 3x 13x 13 = 24336

Therefore, the value for common factors is 24336.

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 = 143124883200/(1x24336)

LCM = 143124883200/24336

LCM = 5881200

Thus, we can understand that the LCM of 624,696,975,338 is 5881200.

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

• LCM of 593, 490, 619, 465
• LCM of 947, 586, 189, 787
• LCM of 166, 406, 443, 693
• LCM of 565, 955, 111, 673
• LCM of 899, 341, 891, 338

1. What is the LCM of 624, 696, 975, 338?

Answer: LCM of 624, 696, 975, 338 is 5881200.

2. How to calculate the LCM of 624, 696, 975, 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, 696, 975, 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}.