LCM of 322, 756, 122, 522, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 756, 122, 522, 527 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 322, 756, 122, 522, 527. So, keep reading to learn more.
Given numbers are 322,756,122,522,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,756,122,522,527 is 16210189044.
Find LCM of 322,756,122,522,527 with Prime Factorization
| 2 | 322, 756, 122, 522, 527 |
| 3 | 161, 378, 61, 261, 527 |
| 3 | 161, 126, 61, 87, 527 |
| 7 | 161, 42, 61, 29, 527 |
| 23, 6, 61, 29, 527 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 23 x 6 x 61 x 29 x 527 = 16210189044
Therefore, the lowest common multiple of 322,756,122,522,527 is 16210189044.
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.
322 x 756 x 122 x 522 x 527 = 8169935278176
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
122 : 1, 2, 61, 122
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,756,122,522,527, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
756:2x 2x 3x 3x 3x 7
122:2x 61
522:2x 3x 3x 29
527:17x 31
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 2x 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 8169935278176/(1x504)
LCM = 8169935278176/504
LCM = 16210189044
Thus, we can understand that the LCM of 322,756,122,522,527 is 16210189044.
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FAQs on LCM of 322, 756, 122, 522, 527
1. What is the LCM of 322, 756, 122, 522, 527?
Answer: LCM of 322, 756, 122, 522, 527 is 16210189044.
2. How to calculate the LCM of 322, 756, 122, 522, 527?
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 322, 756, 122, 522, 527.
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}.