LCM of 178, 882, 414, 960, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 178, 882, 414, 960, 981 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 178, 882, 414, 960, 981. So, keep reading to learn more.
Given numbers are 178,882,414,960,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,882,414,960,981 is 31487117760.
Find LCM of 178,882,414,960,981 with Prime Factorization
| 2 | 178, 882, 414, 960, 981 |
| 3 | 89, 441, 207, 480, 981 |
| 3 | 89, 147, 69, 160, 327 |
| 89, 49, 23, 160, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 89 x 49 x 23 x 160 x 109 = 31487117760
Therefore, the lowest common multiple of 178,882,414,960,981 is 31487117760.
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.
178 x 882 x 414 x 960 x 981 = 61210956925440
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.
178 : 1, 2, 89, 178
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,882,414,960,981, is 1.
Now, the common factors can be found like this.
178:2x 89
882:2x 3x 3x 7x 7
414:2x 3x 3x 23
960:2x 2x 2x 2x 2x 2x 3x 5
981:3x 3x 109
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 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 61210956925440/(1x1944)
LCM = 61210956925440/1944
LCM = 31487117760
Thus, we can understand that the LCM of 178,882,414,960,981 is 31487117760.
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FAQs on LCM of 178, 882, 414, 960, 981
1. What is the LCM of 178, 882, 414, 960, 981?
Answer: LCM of 178, 882, 414, 960, 981 is 31487117760.
2. How to calculate the LCM of 178, 882, 414, 960, 981?
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 178, 882, 414, 960, 981.
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}.