LCM of 753, 207, 410, 990, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 207, 410, 990, 422 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 753, 207, 410, 990, 422. So, keep reading to learn more.
Given numbers are 753,207,410,990,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,207,410,990,422 is 49442800770.
Find LCM of 753,207,410,990,422 with Prime Factorization
| 2 | 753, 207, 410, 990, 422 |
| 3 | 753, 207, 205, 495, 211 |
| 3 | 251, 69, 205, 165, 211 |
| 5 | 251, 23, 205, 55, 211 |
| 251, 23, 41, 11, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 251 x 23 x 41 x 11 x 211 = 49442800770
Therefore, the lowest common multiple of 753,207,410,990,422 is 49442800770.
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.
753 x 207 x 410 x 990 x 422 = 26699112415800
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.
753 : 1, 3, 251, 753
207 : 1, 3, 9, 23, 69, 207
410 : 1, 2, 5, 10, 41, 82, 205, 410
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,207,410,990,422, is 1.
Now, the common factors can be found like this.
753:3x 251
207:3x 3x 23
410:2x 5x 41
990:2x 3x 3x 5x 11
422:2x 211
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 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 26699112415800/(1x540)
LCM = 26699112415800/540
LCM = 49442800770
Thus, we can understand that the LCM of 753,207,410,990,422 is 49442800770.
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FAQs on LCM of 753, 207, 410, 990, 422
1. What is the LCM of 753, 207, 410, 990, 422?
Answer: LCM of 753, 207, 410, 990, 422 is 49442800770.
2. How to calculate the LCM of 753, 207, 410, 990, 422?
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 753, 207, 410, 990, 422.
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}.