LCM of 264, 570, 791, 882, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 570, 791, 882, 929 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 264, 570, 791, 882, 929. So, keep reading to learn more.
Given numbers are 264,570,791,882,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,570,791,882,929 is 387025004520.
Find LCM of 264,570,791,882,929 with Prime Factorization
| 2 | 264, 570, 791, 882, 929 |
| 3 | 132, 285, 791, 441, 929 |
| 7 | 44, 95, 791, 147, 929 |
| 44, 95, 113, 21, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 44 x 95 x 113 x 21 x 929 = 387025004520
Therefore, the lowest common multiple of 264,570,791,882,929 is 387025004520.
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.
264 x 570 x 791 x 882 x 929 = 97530301139040
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
791 : 1, 7, 113, 791
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,570,791,882,929, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
570:2x 3x 5x 19
791:7x 113
882:2x 3x 3x 7x 7
929:929
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 7 = 252
Therefore, the value for common factors is 252.
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 = 97530301139040/(1x252)
LCM = 97530301139040/252
LCM = 387025004520
Thus, we can understand that the LCM of 264,570,791,882,929 is 387025004520.
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FAQs on LCM of 264, 570, 791, 882, 929
1. What is the LCM of 264, 570, 791, 882, 929?
Answer: LCM of 264, 570, 791, 882, 929 is 387025004520.
2. How to calculate the LCM of 264, 570, 791, 882, 929?
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 264, 570, 791, 882, 929.
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}.