LCM of 160, 994, 519, 136, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 994, 519, 136, 777 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 160, 994, 519, 136, 777. So, keep reading to learn more.
Given numbers are 160,994,519,136,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,994,519,136,777 is 25959383520.
Find LCM of 160,994,519,136,777 with Prime Factorization
| 2 | 160, 994, 519, 136, 777 |
| 2 | 80, 497, 519, 68, 777 |
| 2 | 40, 497, 519, 34, 777 |
| 3 | 20, 497, 519, 17, 777 |
| 7 | 20, 497, 173, 17, 259 |
| 20, 71, 173, 17, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 20 x 71 x 173 x 17 x 37 = 25959383520
Therefore, the lowest common multiple of 160,994,519,136,777 is 25959383520.
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.
160 x 994 x 519 x 136 x 777 = 8722352862720
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
994 : 1, 2, 7, 14, 71, 142, 497, 994
519 : 1, 3, 173, 519
136 : 1, 2, 4, 8, 17, 34, 68, 136
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,994,519,136,777, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
994:2x 7x 71
519:3x 173
136:2x 2x 2x 17
777:3x 7x 37
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 7 = 336
Therefore, the value for common factors is 336.
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 = 8722352862720/(1x336)
LCM = 8722352862720/336
LCM = 25959383520
Thus, we can understand that the LCM of 160,994,519,136,777 is 25959383520.
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FAQs on LCM of 160, 994, 519, 136, 777
1. What is the LCM of 160, 994, 519, 136, 777?
Answer: LCM of 160, 994, 519, 136, 777 is 25959383520.
2. How to calculate the LCM of 160, 994, 519, 136, 777?
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 160, 994, 519, 136, 777.
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}.