LCM of 655, 638, 899, 303, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 638, 899, 303, 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 655, 638, 899, 303, 385. So, keep reading to learn more.
Given numbers are 655,638,899,303,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,638,899,303,385 is 27476685390.
Find LCM of 655,638,899,303,385 with Prime Factorization
| 5 | 655, 638, 899, 303, 385 |
| 11 | 131, 638, 899, 303, 77 |
| 29 | 131, 58, 899, 303, 7 |
| 131, 2, 31, 303, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 29 x 131 x 2 x 31 x 303 x 7 = 27476685390
Therefore, the lowest common multiple of 655,638,899,303,385 is 27476685390.
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.
655 x 638 x 899 x 303 x 385 = 43825313197050
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.
655 : 1, 5, 131, 655
638 : 1, 2, 11, 22, 29, 58, 319, 638
899 : 1, 29, 31, 899
303 : 1, 3, 101, 303
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 655,638,899,303,385, is 1.
Now, the common factors can be found like this.
655:5x 131
638:2x 11x 29
899:29x 31
303:3x 101
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.
5x 11x 29 = 1595
Therefore, the value for common factors is 1595.
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 = 43825313197050/(1x1595)
LCM = 43825313197050/1595
LCM = 27476685390
Thus, we can understand that the LCM of 655,638,899,303,385 is 27476685390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 638, 899, 303, 385
1. What is the LCM of 655, 638, 899, 303, 385?
Answer: LCM of 655, 638, 899, 303, 385 is 27476685390.
2. How to calculate the LCM of 655, 638, 899, 303, 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 655, 638, 899, 303, 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}.