LCM of 200, 309, 420, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 309, 420, 791 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 200, 309, 420, 791. So, keep reading to learn more.
Given numbers are 200,309,420,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,309,420,791 is 48883800.
Find LCM of 200,309,420,791 with Prime Factorization
| 2 | 200, 309, 420, 791 |
| 2 | 100, 309, 210, 791 |
| 3 | 50, 309, 105, 791 |
| 5 | 50, 103, 35, 791 |
| 7 | 10, 103, 7, 791 |
| 10, 103, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 10 x 103 x 1 x 113 = 48883800
Therefore, the lowest common multiple of 200,309,420,791 is 48883800.
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.
200 x 309 x 420 x 791 = 20531196000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
309 : 1, 3, 103, 309
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
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,309,420,791, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
309:3x 103
420:2x 2x 3x 5x 7
791:7x 113
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 20531196000/(1x420)
LCM = 20531196000/420
LCM = 48883800
Thus, we can understand that the LCM of 200,309,420,791 is 48883800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 200, 309, 420, 791
1. What is the LCM of 200, 309, 420, 791?
Answer: LCM of 200, 309, 420, 791 is 48883800.
2. How to calculate the LCM of 200, 309, 420, 791?
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 200, 309, 420, 791.
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}.