Given numbers are 230,100,767,135,470

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

The LCM of 230,100,767,135,470 is 2238642900.

Find LCM of 230,100,767,135,470 with Prime Factorization

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

2 x 5 x 23 x 10 x 767 x 27 x 47 = 2238642900

Therefore, the lowest common multiple of 230,100,767,135,470 is 2238642900.

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.

230 x 100 x 767 x 135 x 470 = 1119321450000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

767 : 1, 13, 59, 767

135 : 1, 3, 5, 9, 15, 27, 45, 135

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,100,767,135,470, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

100:2x 2x 5x 5

767:13x 59

135:3x 3x 3x 5

470:2x 5x 47

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 1119321450000/(1x500)

LCM = 1119321450000/500

LCM = 2238642900

Thus, we can understand that the LCM of 230,100,767,135,470 is 2238642900.

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

• LCM of 593, 590, 498, 611, 269
• LCM of 340, 924, 765, 870, 609
• LCM of 364, 382, 527, 754, 782
• LCM of 231, 424, 335, 952, 983
• LCM of 538, 379, 343, 112, 670

1. What is the LCM of 230, 100, 767, 135, 470?

Answer: LCM of 230, 100, 767, 135, 470 is 2238642900.

2. How to calculate the LCM of 230, 100, 767, 135, 470?

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 230, 100, 767, 135, 470.

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}.