LCM of 565, 588, 770, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 588, 770, 791 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 565, 588, 770, 791. So, keep reading to learn more.
Given numbers are 565,588,770,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,588,770,791 is 3654420.
Find LCM of 565,588,770,791 with Prime Factorization
| 2 | 565, 588, 770, 791 |
| 5 | 565, 294, 385, 791 |
| 7 | 113, 294, 77, 791 |
| 113 | 113, 42, 11, 113 |
| 1, 42, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 113 x 1 x 42 x 11 x 1 = 3654420
Therefore, the lowest common multiple of 565,588,770,791 is 3654420.
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.
565 x 588 x 770 x 791 = 202345235400
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.
565 : 1, 5, 113, 565
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,588,770,791, is 1.
Now, the common factors can be found like this.
565:5x 113
588:2x 2x 3x 7x 7
770:2x 5x 7x 11
791:7x 113
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 7x 113 = 55370
Therefore, the value for common factors is 55370.
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 = 202345235400/(1x55370)
LCM = 202345235400/55370
LCM = 3654420
Thus, we can understand that the LCM of 565,588,770,791 is 3654420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 588, 770, 791
1. What is the LCM of 565, 588, 770, 791?
Answer: LCM of 565, 588, 770, 791 is 3654420.
2. How to calculate the LCM of 565, 588, 770, 791?
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 565, 588, 770, 791.
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}.