Find the LCM of 993, 406, 331, 276, 471 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 993, 406, 331, 276, 471. So, keep reading to learn more.
Given numbers are 993,406,331,276,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,406,331,276,471 is 2911607076.
Find LCM of 993,406,331,276,471 with Prime Factorization
2 | 993, 406, 331, 276, 471 |
3 | 993, 203, 331, 138, 471 |
331 | 331, 203, 331, 46, 157 |
1, 203, 1, 46, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 1 x 203 x 1 x 46 x 157 = 2911607076
Therefore, the lowest common multiple of 993,406,331,276,471 is 2911607076.
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.
993 x 406 x 331 x 276 x 471 = 17347354958808
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.
993 : 1, 3, 331, 993
406 : 1, 2, 7, 14, 29, 58, 203, 406
331 : 1, 331
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,406,331,276,471, is 1.
Now, the common factors can be found like this.
993:3x 331
406:2x 7x 29
331:331
276:2x 2x 3x 23
471:3x 157
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 331 = 5958
Therefore, the value for common factors is 5958.
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 = 17347354958808/(1x5958)
LCM = 17347354958808/5958
LCM = 2911607076
Thus, we can understand that the LCM of 993,406,331,276,471 is 2911607076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 406, 331, 276, 471?
Answer: LCM of 993, 406, 331, 276, 471 is 2911607076.
2. How to calculate the LCM of 993, 406, 331, 276, 471?
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 993, 406, 331, 276, 471.
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}.