Given numbers are 765,228,343

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

The LCM of 765,228,343 is 19942020.

Find LCM of 765,228,343 with Prime Factorization

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

3 x 255 x 76 x 343 = 19942020

Therefore, the lowest common multiple of 765,228,343 is 19942020.

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.

765 x 228 x 343 = 59826060

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,228,343, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

228:2x 2x 3x 19

343:7x 7x 7

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

3 = 3

Therefore, the value for common factors is 3.

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 = 59826060/(1x3)

LCM = 59826060/3

LCM = 19942020

Thus, we can understand that the LCM of 765,228,343 is 19942020.

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

• LCM of 957, 525, 222
• LCM of 861, 263, 667
• LCM of 478, 492, 739
• LCM of 429, 196, 432
• LCM of 908, 849, 306

1. What is the LCM of 765, 228, 343?

Answer: LCM of 765, 228, 343 is 19942020.

2. How to calculate the LCM of 765, 228, 343?

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 765, 228, 343.

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}.