LCM of 567, 182, 676, 955, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 182, 676, 955, 415 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 567, 182, 676, 955, 415. So, keep reading to learn more.
Given numbers are 567,182,676,955,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,182,676,955,415 is 30381640380.
Find LCM of 567,182,676,955,415 with Prime Factorization
| 2 | 567, 182, 676, 955, 415 |
| 5 | 567, 91, 338, 955, 415 |
| 7 | 567, 91, 338, 191, 83 |
| 13 | 81, 13, 338, 191, 83 |
| 81, 1, 26, 191, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 81 x 1 x 26 x 191 x 83 = 30381640380
Therefore, the lowest common multiple of 567,182,676,955,415 is 30381640380.
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.
567 x 182 x 676 x 955 x 415 = 27647292745800
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
182 : 1, 2, 7, 13, 14, 26, 91, 182
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
955 : 1, 5, 191, 955
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,182,676,955,415, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
182:2x 7x 13
676:2x 2x 13x 13
955:5x 191
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 13 = 910
Therefore, the value for common factors is 910.
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 = 27647292745800/(1x910)
LCM = 27647292745800/910
LCM = 30381640380
Thus, we can understand that the LCM of 567,182,676,955,415 is 30381640380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 567, 182, 676, 955, 415
1. What is the LCM of 567, 182, 676, 955, 415?
Answer: LCM of 567, 182, 676, 955, 415 is 30381640380.
2. How to calculate the LCM of 567, 182, 676, 955, 415?
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 567, 182, 676, 955, 415.
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}.