LCM of 849, 426, 456, 816, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 426, 456, 816, 116 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 849, 426, 456, 816, 116. So, keep reading to learn more.
Given numbers are 849,426,456,816,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,426,456,816,116 is 9034134288.
Find LCM of 849,426,456,816,116 with Prime Factorization
| 2 | 849, 426, 456, 816, 116 |
| 2 | 849, 213, 228, 408, 58 |
| 2 | 849, 213, 114, 204, 29 |
| 3 | 849, 213, 57, 102, 29 |
| 283, 71, 19, 34, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 283 x 71 x 19 x 34 x 29 = 9034134288
Therefore, the lowest common multiple of 849,426,456,816,116 is 9034134288.
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.
849 x 426 x 456 x 816 x 116 = 15610984049664
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.
849 : 1, 3, 283, 849
426 : 1, 2, 3, 6, 71, 142, 213, 426
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,426,456,816,116, is 1.
Now, the common factors can be found like this.
849:3x 283
426:2x 3x 71
456:2x 2x 2x 3x 19
816:2x 2x 2x 2x 3x 17
116:2x 2x 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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 15610984049664/(1x1728)
LCM = 15610984049664/1728
LCM = 9034134288
Thus, we can understand that the LCM of 849,426,456,816,116 is 9034134288.
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FAQs on LCM of 849, 426, 456, 816, 116
1. What is the LCM of 849, 426, 456, 816, 116?
Answer: LCM of 849, 426, 456, 816, 116 is 9034134288.
2. How to calculate the LCM of 849, 426, 456, 816, 116?
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 849, 426, 456, 816, 116.
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}.