Given numbers are 545,214,268,871

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

The LCM of 545,214,268,871 is 203169460.

Find LCM of 545,214,268,871 with Prime Factorization

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

2 x 67 x 545 x 107 x 2 x 13 = 203169460

Therefore, the lowest common multiple of 545,214,268,871 is 203169460.

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.

545 x 214 x 268 x 871 = 27224707640

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.

545 : 1, 5, 109, 545

214 : 1, 2, 107, 214

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

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,214,268,871, is 1.

Now, the common factors can be found like this.

545:5x 109

214:2x 107

268:2x 2x 67

871:13x 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 67 = 134

Therefore, the value for common factors is 134.

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 = 27224707640/(1x134)

LCM = 27224707640/134

LCM = 203169460

Thus, we can understand that the LCM of 545,214,268,871 is 203169460.

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

• LCM of 607, 791, 669, 168
• LCM of 237, 540, 719, 617
• LCM of 960, 693, 950, 719
• LCM of 944, 313, 438, 731
• LCM of 295, 793, 635, 397

1. What is the LCM of 545, 214, 268, 871?

Answer: LCM of 545, 214, 268, 871 is 203169460.

2. How to calculate the LCM of 545, 214, 268, 871?

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 545, 214, 268, 871.

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}.