LCM of 595, 735, 119, 635, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 735, 119, 635, 610 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, 735, 119, 635, 610. So, keep reading to learn more.
Given numbers are 595,735,119,635,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,735,119,635,610 is 193597530.
Find LCM of 595,735,119,635,610 with Prime Factorization
| 5 | 595, 735, 119, 635, 610 |
| 7 | 119, 147, 119, 127, 122 |
| 17 | 17, 21, 17, 127, 122 |
| 1, 21, 1, 127, 122 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 1 x 21 x 1 x 127 x 122 = 193597530
Therefore, the lowest common multiple of 595,735,119,635,610 is 193597530.
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 735 x 119 x 635 x 610 = 20158342811250
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
119 : 1, 7, 17, 119
635 : 1, 5, 127, 635
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,735,119,635,610, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
735:3x 5x 7x 7
119:7x 17
635:5x 127
610:2x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 7x 7x 17 = 104125
Therefore, the value for common factors is 104125.
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 = 20158342811250/(1x104125)
LCM = 20158342811250/104125
LCM = 193597530
Thus, we can understand that the LCM of 595,735,119,635,610 is 193597530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 735, 119, 635, 610
1. What is the LCM of 595, 735, 119, 635, 610?
Answer: LCM of 595, 735, 119, 635, 610 is 193597530.
2. How to calculate the LCM of 595, 735, 119, 635, 610?
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, 735, 119, 635, 610.
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}.