LCM of 564, 110, 505, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 110, 505, 690 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 564, 110, 505, 690. So, keep reading to learn more.
Given numbers are 564,110,505,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,110,505,690 is 72059460.
Find LCM of 564,110,505,690 with Prime Factorization
| 2 | 564, 110, 505, 690 |
| 3 | 282, 55, 505, 345 |
| 5 | 94, 55, 505, 115 |
| 94, 11, 101, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 94 x 11 x 101 x 23 = 72059460
Therefore, the lowest common multiple of 564,110,505,690 is 72059460.
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.
564 x 110 x 505 x 690 = 21617838000
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
110 : 1, 2, 5, 10, 11, 22, 55, 110
505 : 1, 5, 101, 505
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,110,505,690, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
110:2x 5x 11
505:5x 101
690:2x 3x 5x 23
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 21617838000/(1x300)
LCM = 21617838000/300
LCM = 72059460
Thus, we can understand that the LCM of 564,110,505,690 is 72059460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 564, 110, 505, 690
1. What is the LCM of 564, 110, 505, 690?
Answer: LCM of 564, 110, 505, 690 is 72059460.
2. How to calculate the LCM of 564, 110, 505, 690?
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 564, 110, 505, 690.
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}.