Given numbers are 738,769,365,112,207

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

The LCM of 738,769,365,112,207 is 266803442640.

Find LCM of 738,769,365,112,207 with Prime Factorization

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

2 x 3 x 3 x 41 x 769 x 365 x 56 x 23 = 266803442640

Therefore, the lowest common multiple of 738,769,365,112,207 is 266803442640.

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 769 x 365 x 112 x 207 = 4802461967520

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

769 : 1, 769

365 : 1, 5, 73, 365

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,769,365,112,207, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

769:769

365:5x 73

112:2x 2x 2x 2x 7

207:3x 3x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 4802461967520/(1x18)

LCM = 4802461967520/18

LCM = 266803442640

Thus, we can understand that the LCM of 738,769,365,112,207 is 266803442640.

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

• LCM of 258, 635, 103, 166, 101
• LCM of 441, 740, 418, 157, 248
• LCM of 684, 798, 251, 409, 934
• LCM of 731, 753, 429, 841, 429
• LCM of 464, 840, 779, 949, 349

1. What is the LCM of 738, 769, 365, 112, 207?

Answer: LCM of 738, 769, 365, 112, 207 is 266803442640.

2. How to calculate the LCM of 738, 769, 365, 112, 207?

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, 769, 365, 112, 207.

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}.