LCM of 837, 909, 258, 465, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 909, 258, 465, 981 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 837, 909, 258, 465, 981. So, keep reading to learn more.
Given numbers are 837,909,258,465,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,909,258,465,981 is 3962249190.
Find LCM of 837,909,258,465,981 with Prime Factorization
| 3 | 837, 909, 258, 465, 981 |
| 3 | 279, 303, 86, 155, 327 |
| 31 | 93, 101, 86, 155, 109 |
| 3, 101, 86, 5, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 3 x 101 x 86 x 5 x 109 = 3962249190
Therefore, the lowest common multiple of 837,909,258,465,981 is 3962249190.
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.
837 x 909 x 258 x 465 x 981 = 89542869444810
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
909 : 1, 3, 9, 101, 303, 909
258 : 1, 2, 3, 6, 43, 86, 129, 258
465 : 1, 3, 5, 15, 31, 93, 155, 465
981 : 1, 3, 9, 109, 327, 981
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,909,258,465,981, is 3.
Now, the common factors can be found like this.
837:3x 3x 3x 31
909:3x 3x 101
258:2x 3x 43
465:3x 5x 31
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 31 = 7533
Therefore, the value for common factors is 7533.
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 = 89542869444810/(3x7533)
LCM = 89542869444810/22599
LCM = 3962249190
Thus, we can understand that the LCM of 837,909,258,465,981 is 3962249190.
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FAQs on LCM of 837, 909, 258, 465, 981
1. What is the LCM of 837, 909, 258, 465, 981?
Answer: LCM of 837, 909, 258, 465, 981 is 3962249190.
2. How to calculate the LCM of 837, 909, 258, 465, 981?
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 837, 909, 258, 465, 981.
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}.