LCM of 210, 849, 583, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 849, 583, 385 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 210, 849, 583, 385. So, keep reading to learn more.
Given numbers are 210,849,583,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,849,583,385 is 34647690.
Find LCM of 210,849,583,385 with Prime Factorization
| 3 | 210, 849, 583, 385 |
| 5 | 70, 283, 583, 385 |
| 7 | 14, 283, 583, 77 |
| 11 | 2, 283, 583, 11 |
| 2, 283, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 2 x 283 x 53 x 1 = 34647690
Therefore, the lowest common multiple of 210,849,583,385 is 34647690.
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.
210 x 849 x 583 x 385 = 40018081950
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
849 : 1, 3, 283, 849
583 : 1, 11, 53, 583
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,849,583,385, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
849:3x 283
583:11x 53
385:5x 7x 11
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 11 = 1155
Therefore, the value for common factors is 1155.
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 = 40018081950/(1x1155)
LCM = 40018081950/1155
LCM = 34647690
Thus, we can understand that the LCM of 210,849,583,385 is 34647690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 849, 583, 385
1. What is the LCM of 210, 849, 583, 385?
Answer: LCM of 210, 849, 583, 385 is 34647690.
2. How to calculate the LCM of 210, 849, 583, 385?
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 210, 849, 583, 385.
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}.