LCM of 240, 899, 116, 277, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 899, 116, 277, 912 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 240, 899, 116, 277, 912. So, keep reading to learn more.
Given numbers are 240,899,116,277,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,899,116,277,912 is 1135544880.
Find LCM of 240,899,116,277,912 with Prime Factorization
| 2 | 240, 899, 116, 277, 912 |
| 2 | 120, 899, 58, 277, 456 |
| 2 | 60, 899, 29, 277, 228 |
| 2 | 30, 899, 29, 277, 114 |
| 3 | 15, 899, 29, 277, 57 |
| 29 | 5, 899, 29, 277, 19 |
| 5, 31, 1, 277, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 29 x 5 x 31 x 1 x 277 x 19 = 1135544880
Therefore, the lowest common multiple of 240,899,116,277,912 is 1135544880.
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.
240 x 899 x 116 x 277 x 912 = 6322713891840
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
899 : 1, 29, 31, 899
116 : 1, 2, 4, 29, 58, 116
277 : 1, 277
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,899,116,277,912, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
899:29x 31
116:2x 2x 29
277:277
912:2x 2x 2x 2x 3x 19
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 3x 29 = 5568
Therefore, the value for common factors is 5568.
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 = 6322713891840/(1x5568)
LCM = 6322713891840/5568
LCM = 1135544880
Thus, we can understand that the LCM of 240,899,116,277,912 is 1135544880.
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FAQs on LCM of 240, 899, 116, 277, 912
1. What is the LCM of 240, 899, 116, 277, 912?
Answer: LCM of 240, 899, 116, 277, 912 is 1135544880.
2. How to calculate the LCM of 240, 899, 116, 277, 912?
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 240, 899, 116, 277, 912.
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}.