LCM of 347, 360, 123, 500, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 360, 123, 500, 309 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, 360, 123, 500, 309. So, keep reading to learn more.
Given numbers are 347,360,123,500,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,360,123,500,309 is 13188429000.
Find LCM of 347,360,123,500,309 with Prime Factorization
| 2 | 347, 360, 123, 500, 309 |
| 2 | 347, 180, 123, 250, 309 |
| 3 | 347, 90, 123, 125, 309 |
| 5 | 347, 30, 41, 125, 103 |
| 347, 6, 41, 25, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 347 x 6 x 41 x 25 x 103 = 13188429000
Therefore, the lowest common multiple of 347,360,123,500,309 is 13188429000.
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 360 x 123 x 500 x 309 = 2373917220000
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
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
123 : 1, 3, 41, 123
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,360,123,500,309, is 1.
Now, the common factors can be found like this.
347:347
360:2x 2x 2x 3x 3x 5
123:3x 41
500:2x 2x 5x 5x 5
309:3x 103
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 2373917220000/(1x180)
LCM = 2373917220000/180
LCM = 13188429000
Thus, we can understand that the LCM of 347,360,123,500,309 is 13188429000.
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FAQs on LCM of 347, 360, 123, 500, 309
1. What is the LCM of 347, 360, 123, 500, 309?
Answer: LCM of 347, 360, 123, 500, 309 is 13188429000.
2. How to calculate the LCM of 347, 360, 123, 500, 309?
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, 360, 123, 500, 309.
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}.