LCM of 987, 992, 314, 904, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 992, 314, 904, 774 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 987, 992, 314, 904, 774. So, keep reading to learn more.
Given numbers are 987,992,314,904,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,992,314,904,774 is 2240766644256.
Find LCM of 987,992,314,904,774 with Prime Factorization
| 2 | 987, 992, 314, 904, 774 |
| 2 | 987, 496, 157, 452, 387 |
| 2 | 987, 248, 157, 226, 387 |
| 3 | 987, 124, 157, 113, 387 |
| 329, 124, 157, 113, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 329 x 124 x 157 x 113 x 129 = 2240766644256
Therefore, the lowest common multiple of 987,992,314,904,774 is 2240766644256.
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.
987 x 992 x 314 x 904 x 774 = 215113597848576
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
314 : 1, 2, 157, 314
904 : 1, 2, 4, 8, 113, 226, 452, 904
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,992,314,904,774, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
992:2x 2x 2x 2x 2x 31
314:2x 157
904:2x 2x 2x 113
774:2x 3x 3x 43
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 3 = 96
Therefore, the value for common factors is 96.
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 = 215113597848576/(1x96)
LCM = 215113597848576/96
LCM = 2240766644256
Thus, we can understand that the LCM of 987,992,314,904,774 is 2240766644256.
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FAQs on LCM of 987, 992, 314, 904, 774
1. What is the LCM of 987, 992, 314, 904, 774?
Answer: LCM of 987, 992, 314, 904, 774 is 2240766644256.
2. How to calculate the LCM of 987, 992, 314, 904, 774?
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 987, 992, 314, 904, 774.
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}.