LCM of 847, 330, 351, 299, 595
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 330, 351, 299, 595 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 847, 330, 351, 299, 595. So, keep reading to learn more.
Given numbers are 847,330,351,299,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,330,351,299,595 is 1162431270.
Find LCM of 847,330,351,299,595 with Prime Factorization
| 3 | 847, 330, 351, 299, 595 |
| 5 | 847, 110, 117, 299, 595 |
| 7 | 847, 22, 117, 299, 119 |
| 11 | 121, 22, 117, 299, 17 |
| 13 | 11, 2, 117, 299, 17 |
| 11, 2, 9, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 13 x 11 x 2 x 9 x 23 x 17 = 1162431270
Therefore, the lowest common multiple of 847,330,351,299,595 is 1162431270.
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.
847 x 330 x 351 x 299 x 595 = 17453905519050
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.
847 : 1, 7, 11, 77, 121, 847
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
351 : 1, 3, 9, 13, 27, 39, 117, 351
299 : 1, 13, 23, 299
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,330,351,299,595, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
330:2x 3x 5x 11
351:3x 3x 3x 13
299:13x 23
595:5x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 11x 13 = 15015
Therefore, the value for common factors is 15015.
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 = 17453905519050/(1x15015)
LCM = 17453905519050/15015
LCM = 1162431270
Thus, we can understand that the LCM of 847,330,351,299,595 is 1162431270.
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FAQs on LCM of 847, 330, 351, 299, 595
1. What is the LCM of 847, 330, 351, 299, 595?
Answer: LCM of 847, 330, 351, 299, 595 is 1162431270.
2. How to calculate the LCM of 847, 330, 351, 299, 595?
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 847, 330, 351, 299, 595.
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}.