LCM of 595, 629, 836, 506, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 629, 836, 506, 312 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 595, 629, 836, 506, 312. So, keep reading to learn more.
Given numbers are 595,629,836,506,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,629,836,506,312 is 33017744760.
Find LCM of 595,629,836,506,312 with Prime Factorization
| 2 | 595, 629, 836, 506, 312 |
| 2 | 595, 629, 418, 253, 156 |
| 11 | 595, 629, 209, 253, 78 |
| 17 | 595, 629, 19, 23, 78 |
| 35, 37, 19, 23, 78 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 35 x 37 x 19 x 23 x 78 = 33017744760
Therefore, the lowest common multiple of 595,629,836,506,312 is 33017744760.
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.
595 x 629 x 836 x 506 x 312 = 49394546160960
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
629 : 1, 17, 37, 629
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
506 : 1, 2, 11, 22, 23, 46, 253, 506
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,629,836,506,312, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
629:17x 37
836:2x 2x 11x 19
506:2x 11x 23
312:2x 2x 2x 3x 13
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 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 49394546160960/(1x1496)
LCM = 49394546160960/1496
LCM = 33017744760
Thus, we can understand that the LCM of 595,629,836,506,312 is 33017744760.
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FAQs on LCM of 595, 629, 836, 506, 312
1. What is the LCM of 595, 629, 836, 506, 312?
Answer: LCM of 595, 629, 836, 506, 312 is 33017744760.
2. How to calculate the LCM of 595, 629, 836, 506, 312?
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 595, 629, 836, 506, 312.
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}.