Given numbers are 432,471,755,338

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

The LCM of 432,471,755,338 is 8654003280.

Find LCM of 432,471,755,338 with Prime Factorization

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

2 x 3 x 72 x 157 x 755 x 169 = 8654003280

Therefore, the lowest common multiple of 432,471,755,338 is 8654003280.

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.

432 x 471 x 755 x 338 = 51924019680

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

471 : 1, 3, 157, 471

755 : 1, 5, 151, 755

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,471,755,338, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

471:3x 157

755:5x 151

338:2x 13x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 51924019680/(1x6)

LCM = 51924019680/6

LCM = 8654003280

Thus, we can understand that the LCM of 432,471,755,338 is 8654003280.

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

• LCM of 225, 556, 829, 474
• LCM of 979, 270, 908, 888
• LCM of 975, 226, 514, 527
• LCM of 222, 865, 525, 526
• LCM of 266, 867, 481, 752

1. What is the LCM of 432, 471, 755, 338?

Answer: LCM of 432, 471, 755, 338 is 8654003280.

2. How to calculate the LCM of 432, 471, 755, 338?

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 432, 471, 755, 338.

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}.