LCM of 326, 754, 972, 705, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 754, 972, 705, 629 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 326, 754, 972, 705, 629. So, keep reading to learn more.
Given numbers are 326,754,972,705,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,754,972,705,629 is 8829044937180.
Find LCM of 326,754,972,705,629 with Prime Factorization
| 2 | 326, 754, 972, 705, 629 |
| 3 | 163, 377, 486, 705, 629 |
| 163, 377, 162, 235, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 377 x 162 x 235 x 629 = 8829044937180
Therefore, the lowest common multiple of 326,754,972,705,629 is 8829044937180.
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.
326 x 754 x 972 x 705 x 629 = 105948539246160
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.
326 : 1, 2, 163, 326
754 : 1, 2, 13, 26, 29, 58, 377, 754
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
705 : 1, 3, 5, 15, 47, 141, 235, 705
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,754,972,705,629, is 1.
Now, the common factors can be found like this.
326:2x 163
754:2x 13x 29
972:2x 2x 3x 3x 3x 3x 3
705:3x 5x 47
629:17x 37
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 3 = 12
Therefore, the value for common factors is 12.
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 = 105948539246160/(1x12)
LCM = 105948539246160/12
LCM = 8829044937180
Thus, we can understand that the LCM of 326,754,972,705,629 is 8829044937180.
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FAQs on LCM of 326, 754, 972, 705, 629
1. What is the LCM of 326, 754, 972, 705, 629?
Answer: LCM of 326, 754, 972, 705, 629 is 8829044937180.
2. How to calculate the LCM of 326, 754, 972, 705, 629?
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 326, 754, 972, 705, 629.
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}.