LCM of 911, 652, 441, 489, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 911, 652, 441, 489, 502 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 911, 652, 441, 489, 502. So, keep reading to learn more.
Given numbers are 911,652,441,489,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,652,441,489,502 is 65747354652.
Find LCM of 911,652,441,489,502 with Prime Factorization
| 2 | 911, 652, 441, 489, 502 |
| 3 | 911, 326, 441, 489, 251 |
| 163 | 911, 326, 147, 163, 251 |
| 911, 2, 147, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 911 x 2 x 147 x 1 x 251 = 65747354652
Therefore, the lowest common multiple of 911,652,441,489,502 is 65747354652.
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.
911 x 652 x 441 x 489 x 502 = 64300912849656
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.
911 : 1, 911
652 : 1, 2, 4, 163, 326, 652
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
489 : 1, 3, 163, 489
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,652,441,489,502, is 1.
Now, the common factors can be found like this.
911:911
652:2x 2x 163
441:3x 3x 7x 7
489:3x 163
502:2x 251
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 163 = 978
Therefore, the value for common factors is 978.
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 = 64300912849656/(1x978)
LCM = 64300912849656/978
LCM = 65747354652
Thus, we can understand that the LCM of 911,652,441,489,502 is 65747354652.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 911, 652, 441, 489, 502
1. What is the LCM of 911, 652, 441, 489, 502?
Answer: LCM of 911, 652, 441, 489, 502 is 65747354652.
2. How to calculate the LCM of 911, 652, 441, 489, 502?
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 911, 652, 441, 489, 502.
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}.