LCM of 993, 440, 994, 875, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 440, 994, 875, 684 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, 440, 994, 875, 684. So, keep reading to learn more.
Given numbers are 993,440,994,875,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,440,994,875,684 is 309437667000.
Find LCM of 993,440,994,875,684 with Prime Factorization
| 2 | 993, 440, 994, 875, 684 |
| 2 | 993, 220, 497, 875, 342 |
| 3 | 993, 110, 497, 875, 171 |
| 5 | 331, 110, 497, 875, 57 |
| 7 | 331, 22, 497, 175, 57 |
| 331, 22, 71, 25, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 331 x 22 x 71 x 25 x 57 = 309437667000
Therefore, the lowest common multiple of 993,440,994,875,684 is 309437667000.
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 440 x 994 x 875 x 684 = 259927640280000
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
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
994 : 1, 2, 7, 14, 71, 142, 497, 994
875 : 1, 5, 7, 25, 35, 125, 175, 875
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,440,994,875,684, is 1.
Now, the common factors can be found like this.
993:3x 331
440:2x 2x 2x 5x 11
994:2x 7x 71
875:5x 5x 5x 7
684:2x 2x 3x 3x 19
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 259927640280000/(1x840)
LCM = 259927640280000/840
LCM = 309437667000
Thus, we can understand that the LCM of 993,440,994,875,684 is 309437667000.
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FAQs on LCM of 993, 440, 994, 875, 684
1. What is the LCM of 993, 440, 994, 875, 684?
Answer: LCM of 993, 440, 994, 875, 684 is 309437667000.
2. How to calculate the LCM of 993, 440, 994, 875, 684?
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, 440, 994, 875, 684.
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}.