LCM of 225, 748, 697, 420, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 748, 697, 420, 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 225, 748, 697, 420, 590. So, keep reading to learn more.
Given numbers are 225,748,697,420,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,748,697,420,590 is 2849823900.
Find LCM of 225,748,697,420,590 with Prime Factorization
| 2 | 225, 748, 697, 420, 590 |
| 2 | 225, 374, 697, 210, 295 |
| 3 | 225, 187, 697, 105, 295 |
| 5 | 75, 187, 697, 35, 295 |
| 17 | 15, 187, 697, 7, 59 |
| 15, 11, 41, 7, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 15 x 11 x 41 x 7 x 59 = 2849823900
Therefore, the lowest common multiple of 225,748,697,420,590 is 2849823900.
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.
225 x 748 x 697 x 420 x 590 = 29068203780000
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
697 : 1, 17, 41, 697
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 225,748,697,420,590, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
748:2x 2x 11x 17
697:17x 41
420:2x 2x 3x 5x 7
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 2x 3x 5x 5x 17 = 10200
Therefore, the value for common factors is 10200.
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 = 29068203780000/(1x10200)
LCM = 29068203780000/10200
LCM = 2849823900
Thus, we can understand that the LCM of 225,748,697,420,590 is 2849823900.
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FAQs on LCM of 225, 748, 697, 420, 590
1. What is the LCM of 225, 748, 697, 420, 590?
Answer: LCM of 225, 748, 697, 420, 590 is 2849823900.
2. How to calculate the LCM of 225, 748, 697, 420, 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 225, 748, 697, 420, 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}.