LCM of 561, 293, 408, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 293, 408, 715 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 561, 293, 408, 715. So, keep reading to learn more.
Given numbers are 561,293,408,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,293,408,715 is 85473960.
Find LCM of 561,293,408,715 with Prime Factorization
| 3 | 561, 293, 408, 715 |
| 11 | 187, 293, 136, 715 |
| 17 | 17, 293, 136, 65 |
| 1, 293, 8, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 1 x 293 x 8 x 65 = 85473960
Therefore, the lowest common multiple of 561,293,408,715 is 85473960.
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.
561 x 293 x 408 x 715 = 47950891560
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
293 : 1, 293
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,293,408,715, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
293:293
408:2x 2x 2x 3x 17
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 47950891560/(1x561)
LCM = 47950891560/561
LCM = 85473960
Thus, we can understand that the LCM of 561,293,408,715 is 85473960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 293, 408, 715
1. What is the LCM of 561, 293, 408, 715?
Answer: LCM of 561, 293, 408, 715 is 85473960.
2. How to calculate the LCM of 561, 293, 408, 715?
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 561, 293, 408, 715.
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}.