LCM of 972, 339, 990, 264, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 339, 990, 264, 429 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 972, 339, 990, 264, 429. So, keep reading to learn more.
Given numbers are 972,339,990,264,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,339,990,264,429 is 157065480.
Find LCM of 972,339,990,264,429 with Prime Factorization
| 2 | 972, 339, 990, 264, 429 |
| 2 | 486, 339, 495, 132, 429 |
| 3 | 243, 339, 495, 66, 429 |
| 3 | 81, 113, 165, 22, 143 |
| 11 | 27, 113, 55, 22, 143 |
| 27, 113, 5, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 27 x 113 x 5 x 2 x 13 = 157065480
Therefore, the lowest common multiple of 972,339,990,264,429 is 157065480.
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.
972 x 339 x 990 x 264 x 429 = 36945570467520
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
339 : 1, 3, 113, 339
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
429 : 1, 3, 11, 13, 33, 39, 143, 429
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,339,990,264,429, is 3.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
339:3x 113
990:2x 3x 3x 5x 11
264:2x 2x 2x 3x 11
429:3x 11x 13
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 3x 3x 11x 11 = 78408
Therefore, the value for common factors is 78408.
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 = 36945570467520/(3x78408)
LCM = 36945570467520/235224
LCM = 157065480
Thus, we can understand that the LCM of 972,339,990,264,429 is 157065480.
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FAQs on LCM of 972, 339, 990, 264, 429
1. What is the LCM of 972, 339, 990, 264, 429?
Answer: LCM of 972, 339, 990, 264, 429 is 157065480.
2. How to calculate the LCM of 972, 339, 990, 264, 429?
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 972, 339, 990, 264, 429.
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}.