LCM of 324, 402, 352, 713, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 402, 352, 713, 981 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 324, 402, 352, 713, 981. So, keep reading to learn more.
Given numbers are 324,402,352,713,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,402,352,713,981 is 148463095968.
Find LCM of 324,402,352,713,981 with Prime Factorization
| 2 | 324, 402, 352, 713, 981 |
| 2 | 162, 201, 176, 713, 981 |
| 3 | 81, 201, 88, 713, 981 |
| 3 | 27, 67, 88, 713, 327 |
| 9, 67, 88, 713, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 9 x 67 x 88 x 713 x 109 = 148463095968
Therefore, the lowest common multiple of 324,402,352,713,981 is 148463095968.
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.
324 x 402 x 352 x 713 x 981 = 32068028729088
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
402 : 1, 2, 3, 6, 67, 134, 201, 402
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
713 : 1, 23, 31, 713
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,402,352,713,981, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
402:2x 3x 67
352:2x 2x 2x 2x 2x 11
713:23x 31
981:3x 3x 109
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 3 = 216
Therefore, the value for common factors is 216.
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 = 32068028729088/(1x216)
LCM = 32068028729088/216
LCM = 148463095968
Thus, we can understand that the LCM of 324,402,352,713,981 is 148463095968.
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FAQs on LCM of 324, 402, 352, 713, 981
1. What is the LCM of 324, 402, 352, 713, 981?
Answer: LCM of 324, 402, 352, 713, 981 is 148463095968.
2. How to calculate the LCM of 324, 402, 352, 713, 981?
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 324, 402, 352, 713, 981.
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}.