LCM of 993, 973, 818, 354, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 973, 818, 354, 548 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, 973, 818, 354, 548. So, keep reading to learn more.
Given numbers are 993,973,818,354,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,973,818,354,548 is 12776678503932.
Find LCM of 993,973,818,354,548 with Prime Factorization
| 2 | 993, 973, 818, 354, 548 |
| 3 | 993, 973, 409, 177, 274 |
| 331, 973, 409, 59, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 973 x 409 x 59 x 274 = 12776678503932
Therefore, the lowest common multiple of 993,973,818,354,548 is 12776678503932.
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 973 x 818 x 354 x 548 = 153320142047184
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
973 : 1, 7, 139, 973
818 : 1, 2, 409, 818
354 : 1, 2, 3, 6, 59, 118, 177, 354
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,973,818,354,548, is 1.
Now, the common factors can be found like this.
993:3x 331
973:7x 139
818:2x 409
354:2x 3x 59
548:2x 2x 137
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 3 = 12
Therefore, the value for common factors is 12.
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 = 153320142047184/(1x12)
LCM = 153320142047184/12
LCM = 12776678503932
Thus, we can understand that the LCM of 993,973,818,354,548 is 12776678503932.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 973, 818, 354, 548
1. What is the LCM of 993, 973, 818, 354, 548?
Answer: LCM of 993, 973, 818, 354, 548 is 12776678503932.
2. How to calculate the LCM of 993, 973, 818, 354, 548?
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, 973, 818, 354, 548.
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}.