Find the LCM of 996, 167, 351, 334, 213 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 996, 167, 351, 334, 213. So, keep reading to learn more.
Given numbers are 996,167,351,334,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,167,351,334,213 is 1381719924.
Find LCM of 996,167,351,334,213 with Prime Factorization
2 | 996, 167, 351, 334, 213 |
3 | 498, 167, 351, 167, 213 |
167 | 166, 167, 117, 167, 71 |
166, 1, 117, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 167 x 166 x 1 x 117 x 1 x 71 = 1381719924
Therefore, the lowest common multiple of 996,167,351,334,213 is 1381719924.
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.
996 x 167 x 351 x 334 x 213 = 4153450091544
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
167 : 1, 167
351 : 1, 3, 9, 13, 27, 39, 117, 351
334 : 1, 2, 167, 334
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,167,351,334,213, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
167:167
351:3x 3x 3x 13
334:2x 167
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 167 = 3006
Therefore, the value for common factors is 3006.
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 = 4153450091544/(1x3006)
LCM = 4153450091544/3006
LCM = 1381719924
Thus, we can understand that the LCM of 996,167,351,334,213 is 1381719924.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 996, 167, 351, 334, 213?
Answer: LCM of 996, 167, 351, 334, 213 is 1381719924.
2. How to calculate the LCM of 996, 167, 351, 334, 213?
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 996, 167, 351, 334, 213.
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}.