Given numbers are 117,322,253,407

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

The LCM of 117,322,253,407 is 15333318.

Find LCM of 117,322,253,407 with Prime Factorization

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

11 x 23 x 117 x 14 x 1 x 37 = 15333318

Therefore, the lowest common multiple of 117,322,253,407 is 15333318.

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.

117 x 322 x 253 x 407 = 3879329454

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.

117 : 1, 3, 9, 13, 39, 117

322 : 1, 2, 7, 14, 23, 46, 161, 322

253 : 1, 11, 23, 253

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,322,253,407, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

322:2x 7x 23

253:11x 23

407:11x 37

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

11x 23 = 253

Therefore, the value for common factors is 253.

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 = 3879329454/(1x253)

LCM = 3879329454/253

LCM = 15333318

Thus, we can understand that the LCM of 117,322,253,407 is 15333318.

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

• LCM of 429, 629, 613, 183
• LCM of 454, 516, 429, 121
• LCM of 414, 331, 545, 453
• LCM of 693, 631, 887, 538
• LCM of 573, 465, 925, 105

1. What is the LCM of 117, 322, 253, 407?

Answer: LCM of 117, 322, 253, 407 is 15333318.

2. How to calculate the LCM of 117, 322, 253, 407?

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 117, 322, 253, 407.

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}.