Find the LCM of 336, 660, 996, 103, 371 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 336, 660, 996, 103, 371. So, keep reading to learn more.
Given numbers are 336,660,996,103,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,660,996,103,371 is 8373232560.
Find LCM of 336,660,996,103,371 with Prime Factorization
2 | 336, 660, 996, 103, 371 |
2 | 168, 330, 498, 103, 371 |
3 | 84, 165, 249, 103, 371 |
7 | 28, 55, 83, 103, 371 |
4, 55, 83, 103, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 4 x 55 x 83 x 103 x 53 = 8373232560
Therefore, the lowest common multiple of 336,660,996,103,371 is 8373232560.
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.
336 x 660 x 996 x 103 x 371 = 8440218420480
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
103 : 1, 103
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,660,996,103,371, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
660:2x 2x 3x 5x 11
996:2x 2x 3x 83
103:103
371:7x 53
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 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 8440218420480/(1x1008)
LCM = 8440218420480/1008
LCM = 8373232560
Thus, we can understand that the LCM of 336,660,996,103,371 is 8373232560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 660, 996, 103, 371?
Answer: LCM of 336, 660, 996, 103, 371 is 8373232560.
2. How to calculate the LCM of 336, 660, 996, 103, 371?
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 336, 660, 996, 103, 371.
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}.