Given numbers are 234,912,317,266,428

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

The LCM of 234,912,317,266,428 is 8445016944.

Find LCM of 234,912,317,266,428 with Prime Factorization

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

2 x 2 x 3 x 19 x 39 x 4 x 317 x 7 x 107 = 8445016944

Therefore, the lowest common multiple of 234,912,317,266,428 is 8445016944.

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.

234 x 912 x 317 x 266 x 428 = 7701855452928

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

317 : 1, 317

266 : 1, 2, 7, 14, 19, 38, 133, 266

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,912,317,266,428, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

912:2x 2x 2x 2x 3x 19

317:317

266:2x 7x 19

428:2x 2x 107

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

2x 2x 2x 2x 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 7701855452928/(1x912)

LCM = 7701855452928/912

LCM = 8445016944

Thus, we can understand that the LCM of 234,912,317,266,428 is 8445016944.

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

• LCM of 742, 603, 535, 552, 579
• LCM of 713, 568, 265, 694, 557
• LCM of 795, 838, 438, 731, 916
• LCM of 767, 612, 250, 227, 198
• LCM of 544, 198, 536, 255, 784

1. What is the LCM of 234, 912, 317, 266, 428?

Answer: LCM of 234, 912, 317, 266, 428 is 8445016944.

2. How to calculate the LCM of 234, 912, 317, 266, 428?

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 234, 912, 317, 266, 428.

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}.