Given numbers are 908,654,214,306

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

The LCM of 908,654,214,306 is 1620270612.

Find LCM of 908,654,214,306 with Prime Factorization

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

2 x 3 x 454 x 109 x 107 x 51 = 1620270612

Therefore, the lowest common multiple of 908,654,214,306 is 1620270612.

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.

908 x 654 x 214 x 306 = 38886494688

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.

908 : 1, 2, 4, 227, 454, 908

654 : 1, 2, 3, 6, 109, 218, 327, 654

214 : 1, 2, 107, 214

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,654,214,306, is 2.

Now, the common factors can be found like this.

908:2x 2x 227

654:2x 3x 109

214:2x 107

306:2x 3x 3x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 38886494688/(2x12)

LCM = 38886494688/24

LCM = 1620270612

Thus, we can understand that the LCM of 908,654,214,306 is 1620270612.

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

• LCM of 173, 856, 848, 191
• LCM of 309, 191, 796, 559
• LCM of 664, 893, 794, 839
• LCM of 668, 635, 362, 649
• LCM of 824, 181, 501, 651

1. What is the LCM of 908, 654, 214, 306?

Answer: LCM of 908, 654, 214, 306 is 1620270612.

2. How to calculate the LCM of 908, 654, 214, 306?

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 908, 654, 214, 306.

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}.