LCM of 969, 354, 354, 526, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 354, 354, 526, 459 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 969, 354, 354, 526, 459. So, keep reading to learn more.
Given numbers are 969,354,354,526,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,354,354,526,459 is 270647514.
Find LCM of 969,354,354,526,459 with Prime Factorization
| 2 | 969, 354, 354, 526, 459 |
| 3 | 969, 177, 177, 263, 459 |
| 17 | 323, 59, 59, 263, 153 |
| 59 | 19, 59, 59, 263, 9 |
| 19, 1, 1, 263, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 59 x 19 x 1 x 1 x 263 x 9 = 270647514
Therefore, the lowest common multiple of 969,354,354,526,459 is 270647514.
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.
969 x 354 x 354 x 526 x 459 = 29317621306536
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
354 : 1, 2, 3, 6, 59, 118, 177, 354
354 : 1, 2, 3, 6, 59, 118, 177, 354
526 : 1, 2, 263, 526
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,354,354,526,459, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
354:2x 3x 59
354:2x 3x 59
526:2x 263
459:3x 3x 3x 17
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 17x 59 = 108324
Therefore, the value for common factors is 108324.
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 = 29317621306536/(1x108324)
LCM = 29317621306536/108324
LCM = 270647514
Thus, we can understand that the LCM of 969,354,354,526,459 is 270647514.
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FAQs on LCM of 969, 354, 354, 526, 459
1. What is the LCM of 969, 354, 354, 526, 459?
Answer: LCM of 969, 354, 354, 526, 459 is 270647514.
2. How to calculate the LCM of 969, 354, 354, 526, 459?
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 969, 354, 354, 526, 459.
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}.