Given numbers are 728,325,871,254

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

The LCM of 728,325,871,254 is 154863800.

Find LCM of 728,325,871,254 with Prime Factorization

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

2 x 13 x 28 x 25 x 67 x 127 = 154863800

Therefore, the lowest common multiple of 728,325,871,254 is 154863800.

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.

728 x 325 x 871 x 254 = 52343964400

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

325 : 1, 5, 13, 25, 65, 325

871 : 1, 13, 67, 871

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,325,871,254, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

325:5x 5x 13

871:13x 67

254:2x 127

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 52343964400/(1x338)

LCM = 52343964400/338

LCM = 154863800

Thus, we can understand that the LCM of 728,325,871,254 is 154863800.

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

• LCM of 687, 216, 414, 196
• LCM of 815, 472, 789, 820
• LCM of 349, 706, 233, 696
• LCM of 599, 897, 193, 628
• LCM of 249, 708, 892, 916

1. What is the LCM of 728, 325, 871, 254?

Answer: LCM of 728, 325, 871, 254 is 154863800.

2. How to calculate the LCM of 728, 325, 871, 254?

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 728, 325, 871, 254.

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}.