LCM of 764, 374, 585, 414, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 374, 585, 414, 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 764, 374, 585, 414, 969. So, keep reading to learn more.
Given numbers are 764,374,585,414,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,374,585,414,969 is 36523489860.
Find LCM of 764,374,585,414,969 with Prime Factorization
| 2 | 764, 374, 585, 414, 969 |
| 3 | 382, 187, 585, 207, 969 |
| 3 | 382, 187, 195, 69, 323 |
| 17 | 382, 187, 65, 23, 323 |
| 382, 11, 65, 23, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 382 x 11 x 65 x 23 x 19 = 36523489860
Therefore, the lowest common multiple of 764,374,585,414,969 is 36523489860.
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.
764 x 374 x 585 x 414 x 969 = 67057127382960
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.
764 : 1, 2, 4, 191, 382, 764
374 : 1, 2, 11, 17, 22, 34, 187, 374
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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 764,374,585,414,969, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
374:2x 11x 17
585:3x 3x 5x 13
414:2x 3x 3x 23
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 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 67057127382960/(1x1836)
LCM = 67057127382960/1836
LCM = 36523489860
Thus, we can understand that the LCM of 764,374,585,414,969 is 36523489860.
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FAQs on LCM of 764, 374, 585, 414, 969
1. What is the LCM of 764, 374, 585, 414, 969?
Answer: LCM of 764, 374, 585, 414, 969 is 36523489860.
2. How to calculate the LCM of 764, 374, 585, 414, 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 764, 374, 585, 414, 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}.