LCM of 916, 622, 296, 596, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 622, 296, 596, 696 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 916, 622, 296, 596, 696. So, keep reading to learn more.
Given numbers are 916,622,296,596,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,622,296,596,696 is 273270721512.
Find LCM of 916,622,296,596,696 with Prime Factorization
| 2 | 916, 622, 296, 596, 696 |
| 2 | 458, 311, 148, 298, 348 |
| 2 | 229, 311, 74, 149, 174 |
| 229, 311, 37, 149, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 229 x 311 x 37 x 149 x 87 = 273270721512
Therefore, the lowest common multiple of 916,622,296,596,696 is 273270721512.
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.
916 x 622 x 296 x 596 x 696 = 69957304707072
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.
916 : 1, 2, 4, 229, 458, 916
622 : 1, 2, 311, 622
296 : 1, 2, 4, 8, 37, 74, 148, 296
596 : 1, 2, 4, 149, 298, 596
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,622,296,596,696, is 2.
Now, the common factors can be found like this.
916:2x 2x 229
622:2x 311
296:2x 2x 2x 37
596:2x 2x 149
696:2x 2x 2x 3x 29
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 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 69957304707072/(2x128)
LCM = 69957304707072/256
LCM = 273270721512
Thus, we can understand that the LCM of 916,622,296,596,696 is 273270721512.
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FAQs on LCM of 916, 622, 296, 596, 696
1. What is the LCM of 916, 622, 296, 596, 696?
Answer: LCM of 916, 622, 296, 596, 696 is 273270721512.
2. How to calculate the LCM of 916, 622, 296, 596, 696?
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 916, 622, 296, 596, 696.
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}.