LCM of 635, 630, 748, 693, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 630, 748, 693, 590 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 635, 630, 748, 693, 590. So, keep reading to learn more.
Given numbers are 635,630,748,693,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,630,748,693,590 is 1765500660.
Find LCM of 635,630,748,693,590 with Prime Factorization
| 2 | 635, 630, 748, 693, 590 |
| 3 | 635, 315, 374, 693, 295 |
| 3 | 635, 105, 374, 231, 295 |
| 5 | 635, 35, 374, 77, 295 |
| 7 | 127, 7, 374, 77, 59 |
| 11 | 127, 1, 374, 11, 59 |
| 127, 1, 34, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 127 x 1 x 34 x 1 x 59 = 1765500660
Therefore, the lowest common multiple of 635,630,748,693,590 is 1765500660.
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.
635 x 630 x 748 x 693 x 590 = 122349195738000
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.
635 : 1, 5, 127, 635
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,630,748,693,590, is 1.
Now, the common factors can be found like this.
635:5x 127
630:2x 3x 3x 5x 7
748:2x 2x 11x 17
693:3x 3x 7x 11
590:2x 5x 59
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 3x 5x 5x 7x 11 = 69300
Therefore, the value for common factors is 69300.
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 = 122349195738000/(1x69300)
LCM = 122349195738000/69300
LCM = 1765500660
Thus, we can understand that the LCM of 635,630,748,693,590 is 1765500660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 630, 748, 693, 590
1. What is the LCM of 635, 630, 748, 693, 590?
Answer: LCM of 635, 630, 748, 693, 590 is 1765500660.
2. How to calculate the LCM of 635, 630, 748, 693, 590?
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 635, 630, 748, 693, 590.
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}.