LCM of 583, 921, 340, 510, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 921, 340, 510, 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 583, 921, 340, 510, 385. So, keep reading to learn more.
Given numbers are 583,921,340,510,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,921,340,510,385 is 1277924340.
Find LCM of 583,921,340,510,385 with Prime Factorization
| 2 | 583, 921, 340, 510, 385 |
| 3 | 583, 921, 170, 255, 385 |
| 5 | 583, 307, 170, 85, 385 |
| 11 | 583, 307, 34, 17, 77 |
| 17 | 53, 307, 34, 17, 7 |
| 53, 307, 2, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 53 x 307 x 2 x 1 x 7 = 1277924340
Therefore, the lowest common multiple of 583,921,340,510,385 is 1277924340.
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.
583 x 921 x 340 x 510 x 385 = 35845777737000
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.
583 : 1, 11, 53, 583
921 : 1, 3, 307, 921
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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 583,921,340,510,385, is 1.
Now, the common factors can be found like this.
583:11x 53
921:3x 307
340:2x 2x 5x 17
510:2x 3x 5x 17
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.
2x 3x 5x 5x 11x 17 = 28050
Therefore, the value for common factors is 28050.
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 = 35845777737000/(1x28050)
LCM = 35845777737000/28050
LCM = 1277924340
Thus, we can understand that the LCM of 583,921,340,510,385 is 1277924340.
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FAQs on LCM of 583, 921, 340, 510, 385
1. What is the LCM of 583, 921, 340, 510, 385?
Answer: LCM of 583, 921, 340, 510, 385 is 1277924340.
2. How to calculate the LCM of 583, 921, 340, 510, 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 583, 921, 340, 510, 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}.