LCM of 567, 566, 770, 460, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 566, 770, 460, 550 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, 566, 770, 460, 550. So, keep reading to learn more.
Given numbers are 567,566,770,460,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,566,770,460,550 is 4059663300.
Find LCM of 567,566,770,460,550 with Prime Factorization
| 2 | 567, 566, 770, 460, 550 |
| 5 | 567, 283, 385, 230, 275 |
| 7 | 567, 283, 77, 46, 55 |
| 11 | 81, 283, 11, 46, 55 |
| 81, 283, 1, 46, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 81 x 283 x 1 x 46 x 5 = 4059663300
Therefore, the lowest common multiple of 567,566,770,460,550 is 4059663300.
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 566 x 770 x 460 x 550 = 62518814820000
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
566 : 1, 2, 283, 566
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,566,770,460,550, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
566:2x 283
770:2x 5x 7x 11
460:2x 2x 5x 23
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 5x 7x 11 = 15400
Therefore, the value for common factors is 15400.
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 = 62518814820000/(1x15400)
LCM = 62518814820000/15400
LCM = 4059663300
Thus, we can understand that the LCM of 567,566,770,460,550 is 4059663300.
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FAQs on LCM of 567, 566, 770, 460, 550
1. What is the LCM of 567, 566, 770, 460, 550?
Answer: LCM of 567, 566, 770, 460, 550 is 4059663300.
2. How to calculate the LCM of 567, 566, 770, 460, 550?
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, 566, 770, 460, 550.
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}.