Given numbers are 438,278,218,871,540

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

The LCM of 438,278,218,871,540 is 520206857820.

Find LCM of 438,278,218,871,540 with Prime Factorization

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

2 x 3 x 73 x 139 x 109 x 871 x 90 = 520206857820

Therefore, the lowest common multiple of 438,278,218,871,540 is 520206857820.

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.

438 x 278 x 218 x 871 x 540 = 12484964587680

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

278 : 1, 2, 139, 278

218 : 1, 2, 109, 218

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,278,218,871,540, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

278:2x 139

218:2x 109

871:13x 67

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

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 3 = 24

Therefore, the value for common factors is 24.

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 = 12484964587680/(1x24)

LCM = 12484964587680/24

LCM = 520206857820

Thus, we can understand that the LCM of 438,278,218,871,540 is 520206857820.

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

• LCM of 968, 773, 171, 138, 109
• LCM of 867, 679, 550, 503, 822
• LCM of 588, 221, 899, 198, 348
• LCM of 699, 179, 308, 533, 913
• LCM of 780, 378, 717, 326, 523

1. What is the LCM of 438, 278, 218, 871, 540?

Answer: LCM of 438, 278, 218, 871, 540 is 520206857820.

2. How to calculate the LCM of 438, 278, 218, 871, 540?

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 438, 278, 218, 871, 540.

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}.