Given numbers are 738,338,100,287

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

The LCM of 738,338,100,287 is 43652700.

Find LCM of 738,338,100,287 with Prime Factorization

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

2 x 41 x 9 x 169 x 50 x 7 = 43652700

Therefore, the lowest common multiple of 738,338,100,287 is 43652700.

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.

738 x 338 x 100 x 287 = 7159042800

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,338,100,287, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

338:2x 13x 13

100:2x 2x 5x 5

287:7x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 7159042800/(1x164)

LCM = 7159042800/164

LCM = 43652700

Thus, we can understand that the LCM of 738,338,100,287 is 43652700.

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

• LCM of 903, 587, 588, 686
• LCM of 296, 866, 978, 336
• LCM of 758, 141, 957, 727
• LCM of 127, 943, 817, 792
• LCM of 141, 393, 697, 878

1. What is the LCM of 738, 338, 100, 287?

Answer: LCM of 738, 338, 100, 287 is 43652700.

2. How to calculate the LCM of 738, 338, 100, 287?

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 738, 338, 100, 287.

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}.