LCM of 347, 870, 289, 595, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 870, 289, 595, 300 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 347, 870, 289, 595, 300. So, keep reading to learn more.
Given numbers are 347,870,289,595,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,870,289,595,300 is 6107234700.
Find LCM of 347,870,289,595,300 with Prime Factorization
| 2 | 347, 870, 289, 595, 300 |
| 3 | 347, 435, 289, 595, 150 |
| 5 | 347, 145, 289, 595, 50 |
| 17 | 347, 29, 289, 119, 10 |
| 347, 29, 17, 7, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 347 x 29 x 17 x 7 x 10 = 6107234700
Therefore, the lowest common multiple of 347,870,289,595,300 is 6107234700.
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.
347 x 870 x 289 x 595 x 300 = 15573448485000
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.
347 : 1, 347
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
289 : 1, 17, 289
595 : 1, 5, 7, 17, 35, 85, 119, 595
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,870,289,595,300, is 1.
Now, the common factors can be found like this.
347:347
870:2x 3x 5x 29
289:17x 17
595:5x 7x 17
300:2x 2x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 17 = 2550
Therefore, the value for common factors is 2550.
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 = 15573448485000/(1x2550)
LCM = 15573448485000/2550
LCM = 6107234700
Thus, we can understand that the LCM of 347,870,289,595,300 is 6107234700.
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FAQs on LCM of 347, 870, 289, 595, 300
1. What is the LCM of 347, 870, 289, 595, 300?
Answer: LCM of 347, 870, 289, 595, 300 is 6107234700.
2. How to calculate the LCM of 347, 870, 289, 595, 300?
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 347, 870, 289, 595, 300.
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}.