Given numbers are 438,908,561,219,214

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

The LCM of 438,908,561,219,214 is 3978829668.

Find LCM of 438,908,561,219,214 with Prime Factorization

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

2 x 3 x 73 x 1 x 454 x 187 x 1 x 107 = 3978829668

Therefore, the lowest common multiple of 438,908,561,219,214 is 3978829668.

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 908 x 561 x 219 x 214 = 10456364367504

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

908 : 1, 2, 4, 227, 454, 908

561 : 1, 3, 11, 17, 33, 51, 187, 561

219 : 1, 3, 73, 219

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,908,561,219,214, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

908:2x 2x 227

561:3x 11x 17

219:3x 73

214:2x 107

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 3x 3x 73 = 2628

Therefore, the value for common factors is 2628.

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 = 10456364367504/(1x2628)

LCM = 10456364367504/2628

LCM = 3978829668

Thus, we can understand that the LCM of 438,908,561,219,214 is 3978829668.

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

• LCM of 648, 440, 754, 534, 679
• LCM of 231, 115, 694, 847, 390
• LCM of 178, 421, 881, 531, 499
• LCM of 554, 402, 475, 883, 159
• LCM of 710, 691, 742, 629, 213

1. What is the LCM of 438, 908, 561, 219, 214?

Answer: LCM of 438, 908, 561, 219, 214 is 3978829668.

2. How to calculate the LCM of 438, 908, 561, 219, 214?

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, 908, 561, 219, 214.

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}.