LCM of 595, 570, 611, 741, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 570, 611, 741, 654 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 595, 570, 611, 741, 654. So, keep reading to learn more.
Given numbers are 595,570,611,741,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,570,611,741,654 is 4517410170.
Find LCM of 595,570,611,741,654 with Prime Factorization
| 2 | 595, 570, 611, 741, 654 |
| 3 | 595, 285, 611, 741, 327 |
| 5 | 595, 95, 611, 247, 109 |
| 13 | 119, 19, 611, 247, 109 |
| 19 | 119, 19, 47, 19, 109 |
| 119, 1, 47, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 19 x 119 x 1 x 47 x 1 x 109 = 4517410170
Therefore, the lowest common multiple of 595,570,611,741,654 is 4517410170.
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.
595 x 570 x 611 x 741 x 654 = 100422028079100
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
611 : 1, 13, 47, 611
741 : 1, 3, 13, 19, 39, 57, 247, 741
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,570,611,741,654, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
570:2x 3x 5x 19
611:13x 47
741:3x 13x 19
654:2x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13x 19 = 22230
Therefore, the value for common factors is 22230.
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 = 100422028079100/(1x22230)
LCM = 100422028079100/22230
LCM = 4517410170
Thus, we can understand that the LCM of 595,570,611,741,654 is 4517410170.
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FAQs on LCM of 595, 570, 611, 741, 654
1. What is the LCM of 595, 570, 611, 741, 654?
Answer: LCM of 595, 570, 611, 741, 654 is 4517410170.
2. How to calculate the LCM of 595, 570, 611, 741, 654?
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 595, 570, 611, 741, 654.
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}.