LCM of 582, 377, 517, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 377, 517, 846 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 582, 377, 517, 846. So, keep reading to learn more.
Given numbers are 582,377,517,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,377,517,846 is 340311114.
Find LCM of 582,377,517,846 with Prime Factorization
| 2 | 582, 377, 517, 846 |
| 3 | 291, 377, 517, 423 |
| 47 | 97, 377, 517, 141 |
| 97, 377, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 97 x 377 x 11 x 3 = 340311114
Therefore, the lowest common multiple of 582,377,517,846 is 340311114.
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.
582 x 377 x 517 x 846 = 95967734148
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
377 : 1, 13, 29, 377
517 : 1, 11, 47, 517
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,377,517,846, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
377:13x 29
517:11x 47
846:2x 3x 3x 47
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 47 = 282
Therefore, the value for common factors is 282.
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 = 95967734148/(1x282)
LCM = 95967734148/282
LCM = 340311114
Thus, we can understand that the LCM of 582,377,517,846 is 340311114.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 582, 377, 517, 846
1. What is the LCM of 582, 377, 517, 846?
Answer: LCM of 582, 377, 517, 846 is 340311114.
2. How to calculate the LCM of 582, 377, 517, 846?
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 582, 377, 517, 846.
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}.