LCM of 993, 672, 488, 360, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 672, 488, 360, 942 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, 672, 488, 360, 942. So, keep reading to learn more.
Given numbers are 993,672,488,360,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,672,488,360,942 is 31953468960.
Find LCM of 993,672,488,360,942 with Prime Factorization
| 2 | 993, 672, 488, 360, 942 |
| 2 | 993, 336, 244, 180, 471 |
| 2 | 993, 168, 122, 90, 471 |
| 3 | 993, 84, 61, 45, 471 |
| 331, 28, 61, 15, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 331 x 28 x 61 x 15 x 157 = 31953468960
Therefore, the lowest common multiple of 993,672,488,360,942 is 31953468960.
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 672 x 488 x 360 x 942 = 110431188725760
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
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
488 : 1, 2, 4, 8, 61, 122, 244, 488
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,672,488,360,942, is 1.
Now, the common factors can be found like this.
993:3x 331
672:2x 2x 2x 2x 2x 3x 7
488:2x 2x 2x 61
360:2x 2x 2x 3x 3x 5
942:2x 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 2x 2x 2x 2x 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 110431188725760/(1x3456)
LCM = 110431188725760/3456
LCM = 31953468960
Thus, we can understand that the LCM of 993,672,488,360,942 is 31953468960.
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FAQs on LCM of 993, 672, 488, 360, 942
1. What is the LCM of 993, 672, 488, 360, 942?
Answer: LCM of 993, 672, 488, 360, 942 is 31953468960.
2. How to calculate the LCM of 993, 672, 488, 360, 942?
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, 672, 488, 360, 942.
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}.