LCM of 836, 305, 374, 490, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 305, 374, 490, 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 836, 305, 374, 490, 969. So, keep reading to learn more.
Given numbers are 836,305,374,490,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,305,374,490,969 is 637195020.
Find LCM of 836,305,374,490,969 with Prime Factorization
| 2 | 836, 305, 374, 490, 969 |
| 5 | 418, 305, 187, 245, 969 |
| 11 | 418, 61, 187, 49, 969 |
| 17 | 38, 61, 17, 49, 969 |
| 19 | 38, 61, 1, 49, 57 |
| 2, 61, 1, 49, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 19 x 2 x 61 x 1 x 49 x 3 = 637195020
Therefore, the lowest common multiple of 836,305,374,490,969 is 637195020.
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.
836 x 305 x 374 x 490 x 969 = 45279078121200
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
305 : 1, 5, 61, 305
374 : 1, 2, 11, 17, 22, 34, 187, 374
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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 836,305,374,490,969, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
305:5x 61
374:2x 11x 17
490:2x 5x 7x 7
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.
2x 2x 5x 11x 17x 19 = 71060
Therefore, the value for common factors is 71060.
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 = 45279078121200/(1x71060)
LCM = 45279078121200/71060
LCM = 637195020
Thus, we can understand that the LCM of 836,305,374,490,969 is 637195020.
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FAQs on LCM of 836, 305, 374, 490, 969
1. What is the LCM of 836, 305, 374, 490, 969?
Answer: LCM of 836, 305, 374, 490, 969 is 637195020.
2. How to calculate the LCM of 836, 305, 374, 490, 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 836, 305, 374, 490, 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}.