Given numbers are 268,434,748,410,804

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

The LCM of 268,434,748,410,804 is 6688230780.

Find LCM of 268,434,748,410,804 with Prime Factorization

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

2 x 2 x 67 x 1 x 217 x 187 x 205 x 3 = 6688230780

Therefore, the lowest common multiple of 268,434,748,410,804 is 6688230780.

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.

268 x 434 x 748 x 410 x 804 = 28679133584640

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.

268 : 1, 2, 4, 67, 134, 268

434 : 1, 2, 7, 14, 31, 62, 217, 434

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

410 : 1, 2, 5, 10, 41, 82, 205, 410

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,434,748,410,804, is 2.

Now, the common factors can be found like this.

268:2x 2x 67

434:2x 7x 31

748:2x 2x 11x 17

410:2x 5x 41

804:2x 2x 3x 67

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 2x 2x 2x 67 = 2144

Therefore, the value for common factors is 2144.

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 = 28679133584640/(2x2144)

LCM = 28679133584640/4288

LCM = 6688230780

Thus, we can understand that the LCM of 268,434,748,410,804 is 6688230780.

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

• LCM of 386, 457, 342, 661, 641
• LCM of 182, 550, 984, 239, 611
• LCM of 508, 291, 506, 556, 558
• LCM of 925, 355, 512, 552, 832
• LCM of 829, 892, 808, 968, 199

1. What is the LCM of 268, 434, 748, 410, 804?

Answer: LCM of 268, 434, 748, 410, 804 is 6688230780.

2. How to calculate the LCM of 268, 434, 748, 410, 804?

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 268, 434, 748, 410, 804.

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}.