Given numbers are 491,272,106,119

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

The LCM of 491,272,106,119 is 49547792.

Find LCM of 491,272,106,119 with Prime Factorization

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

2 x 17 x 491 x 8 x 53 x 7 = 49547792

Therefore, the lowest common multiple of 491,272,106,119 is 49547792.

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 272 x 106 x 119 = 1684624928

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

106 : 1, 2, 53, 106

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,272,106,119, is 1.

Now, the common factors can be found like this.

491:491

272:2x 2x 2x 2x 17

106:2x 53

119:7x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 1684624928/(1x34)

LCM = 1684624928/34

LCM = 49547792

Thus, we can understand that the LCM of 491,272,106,119 is 49547792.

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

• LCM of 813, 145, 730, 545
• LCM of 259, 250, 501, 651
• LCM of 885, 985, 801, 155
• LCM of 192, 277, 721, 189
• LCM of 961, 760, 566, 205

1. What is the LCM of 491, 272, 106, 119?

Answer: LCM of 491, 272, 106, 119 is 49547792.

2. How to calculate the LCM of 491, 272, 106, 119?

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, 272, 106, 119.

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}.