LCM of 325, 871, 665, 894, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 325, 871, 665, 894, 969 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 325, 871, 665, 894, 969. So, keep reading to learn more.
Given numbers are 325,871,665,894,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,871,665,894,969 is 44014547850.
Find LCM of 325,871,665,894,969 with Prime Factorization
| 3 | 325, 871, 665, 894, 969 |
| 5 | 325, 871, 665, 298, 323 |
| 13 | 65, 871, 133, 298, 323 |
| 19 | 5, 67, 133, 298, 323 |
| 5, 67, 7, 298, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 19 x 5 x 67 x 7 x 298 x 17 = 44014547850
Therefore, the lowest common multiple of 325,871,665,894,969 is 44014547850.
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.
325 x 871 x 665 x 894 x 969 = 163073899784250
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.
325 : 1, 5, 13, 25, 65, 325
871 : 1, 13, 67, 871
665 : 1, 5, 7, 19, 35, 95, 133, 665
894 : 1, 2, 3, 6, 149, 298, 447, 894
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,871,665,894,969, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
871:13x 67
665:5x 7x 19
894:2x 3x 149
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13x 19 = 3705
Therefore, the value for common factors is 3705.
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 = 163073899784250/(1x3705)
LCM = 163073899784250/3705
LCM = 44014547850
Thus, we can understand that the LCM of 325,871,665,894,969 is 44014547850.
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FAQs on LCM of 325, 871, 665, 894, 969
1. What is the LCM of 325, 871, 665, 894, 969?
Answer: LCM of 325, 871, 665, 894, 969 is 44014547850.
2. How to calculate the LCM of 325, 871, 665, 894, 969?
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 325, 871, 665, 894, 969.
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}.