LCM of 852, 294, 889, 504, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 294, 889, 504, 147 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 852, 294, 889, 504, 147. So, keep reading to learn more.
Given numbers are 852,294,889,504,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,294,889,504,147 is 31811976.
Find LCM of 852,294,889,504,147 with Prime Factorization
| 2 | 852, 294, 889, 504, 147 |
| 2 | 426, 147, 889, 252, 147 |
| 3 | 213, 147, 889, 126, 147 |
| 7 | 71, 49, 889, 42, 49 |
| 7 | 71, 7, 127, 6, 7 |
| 71, 1, 127, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 71 x 1 x 127 x 6 x 1 = 31811976
Therefore, the lowest common multiple of 852,294,889,504,147 is 31811976.
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.
852 x 294 x 889 x 504 x 147 = 16498199745216
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
889 : 1, 7, 127, 889
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,294,889,504,147, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
294:2x 3x 7x 7
889:7x 127
504:2x 2x 2x 3x 3x 7
147:3x 7x 7
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 7x 7x 7x 7 = 518616
Therefore, the value for common factors is 518616.
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 = 16498199745216/(1x518616)
LCM = 16498199745216/518616
LCM = 31811976
Thus, we can understand that the LCM of 852,294,889,504,147 is 31811976.
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FAQs on LCM of 852, 294, 889, 504, 147
1. What is the LCM of 852, 294, 889, 504, 147?
Answer: LCM of 852, 294, 889, 504, 147 is 31811976.
2. How to calculate the LCM of 852, 294, 889, 504, 147?
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 852, 294, 889, 504, 147.
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}.