LCM of 838, 300, 471, 299, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 300, 471, 299, 420 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 838, 300, 471, 299, 420. So, keep reading to learn more.
Given numbers are 838,300,471,299,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,300,471,299,420 is 41305145700.
Find LCM of 838,300,471,299,420 with Prime Factorization
| 2 | 838, 300, 471, 299, 420 |
| 2 | 419, 150, 471, 299, 210 |
| 3 | 419, 75, 471, 299, 105 |
| 5 | 419, 25, 157, 299, 35 |
| 419, 5, 157, 299, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 419 x 5 x 157 x 299 x 7 = 41305145700
Therefore, the lowest common multiple of 838,300,471,299,420 is 41305145700.
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.
838 x 300 x 471 x 299 x 420 = 14869852452000
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.
838 : 1, 2, 419, 838
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
471 : 1, 3, 157, 471
299 : 1, 13, 23, 299
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,300,471,299,420, is 1.
Now, the common factors can be found like this.
838:2x 419
300:2x 2x 3x 5x 5
471:3x 157
299:13x 23
420:2x 2x 3x 5x 7
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 14869852452000/(1x360)
LCM = 14869852452000/360
LCM = 41305145700
Thus, we can understand that the LCM of 838,300,471,299,420 is 41305145700.
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FAQs on LCM of 838, 300, 471, 299, 420
1. What is the LCM of 838, 300, 471, 299, 420?
Answer: LCM of 838, 300, 471, 299, 420 is 41305145700.
2. How to calculate the LCM of 838, 300, 471, 299, 420?
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 838, 300, 471, 299, 420.
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}.