LCM of 994, 420, 588, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 420, 588, 112 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 994, 420, 588, 112. So, keep reading to learn more.
Given numbers are 994,420,588,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,420,588,112 is 834960.
Find LCM of 994,420,588,112 with Prime Factorization
| 2 | 994, 420, 588, 112 |
| 2 | 497, 210, 294, 56 |
| 3 | 497, 105, 147, 28 |
| 7 | 497, 35, 49, 28 |
| 71, 5, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 71 x 5 x 7 x 4 = 834960
Therefore, the lowest common multiple of 994,420,588,112 is 834960.
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.
994 x 420 x 588 x 112 = 27493562880
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,420,588,112, is 14.
Now, the common factors can be found like this.
994:2x 7x 71
420:2x 2x 3x 5x 7
588:2x 2x 3x 7x 7
112:2x 2x 2x 2x 7
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 27493562880/(14x2352)
LCM = 27493562880/32928
LCM = 834960
Thus, we can understand that the LCM of 994,420,588,112 is 834960.
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FAQs on LCM of 994, 420, 588, 112
1. What is the LCM of 994, 420, 588, 112?
Answer: LCM of 994, 420, 588, 112 is 834960.
2. How to calculate the LCM of 994, 420, 588, 112?
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 994, 420, 588, 112.
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}.