Given numbers are 338,211,988,858,780

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

The LCM of 338,211,988,858,780 is 447163860.

Find LCM of 338,211,988,858,780 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 211 x 19 x 11 x 5 = 447163860

Therefore, the lowest common multiple of 338,211,988,858,780 is 447163860.

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.

338 x 211 x 988 x 858 x 780 = 47156112020160

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.

338 : 1, 2, 13, 26, 169, 338

211 : 1, 211

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,211,988,858,780, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

211:211

988:2x 2x 13x 19

858:2x 3x 11x 13

780:2x 2x 3x 5x 13

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 13x 13x 13 = 105456

Therefore, the value for common factors is 105456.

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 = 47156112020160/(1x105456)

LCM = 47156112020160/105456

LCM = 447163860

Thus, we can understand that the LCM of 338,211,988,858,780 is 447163860.

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

• LCM of 765, 921, 969, 349, 661
• LCM of 162, 303, 441, 461, 156
• LCM of 100, 916, 726, 832, 937
• LCM of 145, 295, 876, 242, 907
• LCM of 789, 517, 459, 892, 682

1. What is the LCM of 338, 211, 988, 858, 780?

Answer: LCM of 338, 211, 988, 858, 780 is 447163860.

2. How to calculate the LCM of 338, 211, 988, 858, 780?

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 338, 211, 988, 858, 780.

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}.