Given numbers are 491,106,142,344

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

The LCM of 491,106,142,344 is 635585752.

Find LCM of 491,106,142,344 with Prime Factorization

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

2 x 491 x 53 x 71 x 172 = 635585752

Therefore, the lowest common multiple of 491,106,142,344 is 635585752.

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.

491 x 106 x 142 x 344 = 2542343008

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.

491 : 1, 491

106 : 1, 2, 53, 106

142 : 1, 2, 71, 142

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,106,142,344, is 1.

Now, the common factors can be found like this.

491:491

106:2x 53

142:2x 71

344:2x 2x 2x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2542343008/(1x4)

LCM = 2542343008/4

LCM = 635585752

Thus, we can understand that the LCM of 491,106,142,344 is 635585752.

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

• LCM of 595, 525, 472, 160
• LCM of 881, 784, 484, 707
• LCM of 125, 760, 683, 550
• LCM of 301, 810, 954, 447
• LCM of 356, 932, 189, 884

1. What is the LCM of 491, 106, 142, 344?

Answer: LCM of 491, 106, 142, 344 is 635585752.

2. How to calculate the LCM of 491, 106, 142, 344?

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 491, 106, 142, 344.

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}.