Given numbers are 600,575,266,645,678

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

The LCM of 600,575,266,645,678 is 8918208600.

Find LCM of 600,575,266,645,678 with Prime Factorization

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

2 x 3 x 5 x 5 x 4 x 23 x 133 x 43 x 113 = 8918208600

Therefore, the lowest common multiple of 600,575,266,645,678 is 8918208600.

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.

600 x 575 x 266 x 645 x 678 = 40131938700000

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

575 : 1, 5, 23, 25, 115, 575

266 : 1, 2, 7, 14, 19, 38, 133, 266

645 : 1, 3, 5, 15, 43, 129, 215, 645

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,575,266,645,678, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

575:5x 5x 23

266:2x 7x 19

645:3x 5x 43

678:2x 3x 113

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 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 40131938700000/(1x4500)

LCM = 40131938700000/4500

LCM = 8918208600

Thus, we can understand that the LCM of 600,575,266,645,678 is 8918208600.

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

• LCM of 646, 771, 401, 752, 879
• LCM of 304, 953, 227, 103, 453
• LCM of 127, 540, 658, 127, 731
• LCM of 141, 623, 773, 646, 921
• LCM of 787, 756, 788, 783, 442

1. What is the LCM of 600, 575, 266, 645, 678?

Answer: LCM of 600, 575, 266, 645, 678 is 8918208600.

2. How to calculate the LCM of 600, 575, 266, 645, 678?

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 600, 575, 266, 645, 678.

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}.