Given numbers are 760,127,313,19

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

The LCM of 760,127,313,19 is 30210760.

Find LCM of 760,127,313,19 with Prime Factorization

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

19 x 40 x 127 x 313 x 1 = 30210760

Therefore, the lowest common multiple of 760,127,313,19 is 30210760.

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.

760 x 127 x 313 x 19 = 574004440

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

127 : 1, 127

313 : 1, 313

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,127,313,19, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

127:127

313:313

19:19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 574004440/(1x19)

LCM = 574004440/19

LCM = 30210760

Thus, we can understand that the LCM of 760,127,313,19 is 30210760.

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

• LCM of 981, 191, 450, 48
• LCM of 204, 898, 991, 56
• LCM of 267, 267, 545, 73
• LCM of 896, 901, 233, 31
• LCM of 878, 578, 451, 84

1. What is the LCM of 760, 127, 313, 19?

Answer: LCM of 760, 127, 313, 19 is 30210760.

2. How to calculate the LCM of 760, 127, 313, 19?

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 760, 127, 313, 19.

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}.