Given numbers are 998,678,918,638,936

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

The LCM of 998,678,918,638,936 is 858649056408.

Find LCM of 998,678,918,638,936 with Prime Factorization

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

2 x 3 x 3 x 499 x 113 x 51 x 319 x 52 = 858649056408

Therefore, the lowest common multiple of 998,678,918,638,936 is 858649056408.

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.

998 x 678 x 918 x 638 x 936 = 370936392368256

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.

998 : 1, 2, 499, 998

678 : 1, 2, 3, 6, 113, 226, 339, 678

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

638 : 1, 2, 11, 22, 29, 58, 319, 638

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,678,918,638,936, is 2.

Now, the common factors can be found like this.

998:2x 499

678:2x 3x 113

918:2x 3x 3x 3x 17

638:2x 11x 29

936:2x 2x 2x 3x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 370936392368256/(2x216)

LCM = 370936392368256/432

LCM = 858649056408

Thus, we can understand that the LCM of 998,678,918,638,936 is 858649056408.

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

• LCM of 928, 591, 987, 352, 612
• LCM of 373, 859, 835, 203, 307
• LCM of 547, 443, 366, 344, 820
• LCM of 634, 809, 489, 980, 773
• LCM of 182, 639, 957, 174, 688

1. What is the LCM of 998, 678, 918, 638, 936?

Answer: LCM of 998, 678, 918, 638, 936 is 858649056408.

2. How to calculate the LCM of 998, 678, 918, 638, 936?

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 998, 678, 918, 638, 936.

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}.