Given numbers are 642,102,438,141,908

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

The LCM of 642,102,438,141,908 is 17000454036.

Find LCM of 642,102,438,141,908 with Prime Factorization

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

2 x 3 x 107 x 17 x 73 x 47 x 454 = 17000454036

Therefore, the lowest common multiple of 642,102,438,141,908 is 17000454036.

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.

642 x 102 x 438 x 141 x 908 = 3672098071776

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

141 : 1, 3, 47, 141

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,102,438,141,908, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

102:2x 3x 17

438:2x 3x 73

141:3x 47

908:2x 2x 227

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 3672098071776/(1x216)

LCM = 3672098071776/216

LCM = 17000454036

Thus, we can understand that the LCM of 642,102,438,141,908 is 17000454036.

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

• LCM of 194, 659, 877, 847, 274
• LCM of 373, 737, 483, 879, 179
• LCM of 280, 439, 978, 410, 383
• LCM of 601, 466, 305, 739, 601
• LCM of 185, 712, 328, 257, 284

1. What is the LCM of 642, 102, 438, 141, 908?

Answer: LCM of 642, 102, 438, 141, 908 is 17000454036.

2. How to calculate the LCM of 642, 102, 438, 141, 908?

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 642, 102, 438, 141, 908.

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}.