Given numbers are 304,871,540,754,458

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

The LCM of 304,871,540,754,458 is 237388123440.

Find LCM of 304,871,540,754,458 with Prime Factorization

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

2 x 2 x 13 x 76 x 67 x 135 x 29 x 229 = 237388123440

Therefore, the lowest common multiple of 304,871,540,754,458 is 237388123440.

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.

304 x 871 x 540 x 754 x 458 = 49376729675520

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

871 : 1, 13, 67, 871

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

754 : 1, 2, 13, 26, 29, 58, 377, 754

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,871,540,754,458, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

871:13x 67

540:2x 2x 3x 3x 3x 5

754:2x 13x 29

458:2x 229

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 13 = 208

Therefore, the value for common factors is 208.

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 = 49376729675520/(1x208)

LCM = 49376729675520/208

LCM = 237388123440

Thus, we can understand that the LCM of 304,871,540,754,458 is 237388123440.

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

• LCM of 170, 282, 647, 352, 138
• LCM of 757, 328, 661, 983, 389
• LCM of 361, 580, 343, 981, 905
• LCM of 969, 655, 848, 631, 282
• LCM of 802, 458, 220, 967, 786

1. What is the LCM of 304, 871, 540, 754, 458?

Answer: LCM of 304, 871, 540, 754, 458 is 237388123440.

2. How to calculate the LCM of 304, 871, 540, 754, 458?

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 304, 871, 540, 754, 458.

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}.