Given numbers are 117,133,646,949,429

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

The LCM of 117,133,646,949,429 is 424846422.

Find LCM of 117,133,646,949,429 with Prime Factorization

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

3 x 13 x 19 x 3 x 7 x 34 x 73 x 11 = 424846422

Therefore, the lowest common multiple of 117,133,646,949,429 is 424846422.

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 133 x 646 x 949 x 429 = 4092545583126

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

133 : 1, 7, 19, 133

646 : 1, 2, 17, 19, 34, 38, 323, 646

949 : 1, 13, 73, 949

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,133,646,949,429, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

133:7x 19

646:2x 17x 19

949:13x 73

429:3x 11x 13

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

3x 13x 13x 19 = 9633

Therefore, the value for common factors is 9633.

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 = 4092545583126/(1x9633)

LCM = 4092545583126/9633

LCM = 424846422

Thus, we can understand that the LCM of 117,133,646,949,429 is 424846422.

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

• LCM of 678, 945, 910, 784, 535
• LCM of 669, 593, 685, 658, 509
• LCM of 655, 819, 833, 487, 753
• LCM of 902, 872, 598, 182, 191
• LCM of 470, 777, 169, 810, 834

1. What is the LCM of 117, 133, 646, 949, 429?

Answer: LCM of 117, 133, 646, 949, 429 is 424846422.

2. How to calculate the LCM of 117, 133, 646, 949, 429?

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, 133, 646, 949, 429.

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}.