LCM of 506, 889, 344, 665, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 889, 344, 665, 836 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 506, 889, 344, 665, 836. So, keep reading to learn more.
Given numbers are 506,889,344,665,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,889,344,665,836 is 7350287560.
Find LCM of 506,889,344,665,836 with Prime Factorization
| 2 | 506, 889, 344, 665, 836 |
| 2 | 253, 889, 172, 665, 418 |
| 7 | 253, 889, 86, 665, 209 |
| 11 | 253, 127, 86, 95, 209 |
| 19 | 23, 127, 86, 95, 19 |
| 23, 127, 86, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 19 x 23 x 127 x 86 x 5 x 1 = 7350287560
Therefore, the lowest common multiple of 506,889,344,665,836 is 7350287560.
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.
506 x 889 x 344 x 665 x 836 = 86027765602240
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
889 : 1, 7, 127, 889
344 : 1, 2, 4, 8, 43, 86, 172, 344
665 : 1, 5, 7, 19, 35, 95, 133, 665
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,889,344,665,836, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
889:7x 127
344:2x 2x 2x 43
665:5x 7x 19
836:2x 2x 11x 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 7x 11x 19 = 11704
Therefore, the value for common factors is 11704.
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 = 86027765602240/(1x11704)
LCM = 86027765602240/11704
LCM = 7350287560
Thus, we can understand that the LCM of 506,889,344,665,836 is 7350287560.
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FAQs on LCM of 506, 889, 344, 665, 836
1. What is the LCM of 506, 889, 344, 665, 836?
Answer: LCM of 506, 889, 344, 665, 836 is 7350287560.
2. How to calculate the LCM of 506, 889, 344, 665, 836?
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 506, 889, 344, 665, 836.
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}.