LCM of 264, 523, 131, 765, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 523, 131, 765, 680 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, 523, 131, 765, 680. So, keep reading to learn more.
Given numbers are 264,523,131,765,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,523,131,765,680 is 4612295160.
Find LCM of 264,523,131,765,680 with Prime Factorization
| 2 | 264, 523, 131, 765, 680 |
| 2 | 132, 523, 131, 765, 340 |
| 2 | 66, 523, 131, 765, 170 |
| 3 | 33, 523, 131, 765, 85 |
| 5 | 11, 523, 131, 255, 85 |
| 17 | 11, 523, 131, 51, 17 |
| 11, 523, 131, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 11 x 523 x 131 x 3 x 1 = 4612295160
Therefore, the lowest common multiple of 264,523,131,765,680 is 4612295160.
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 523 x 131 x 765 x 680 = 9409082126400
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
523 : 1, 523
131 : 1, 131
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,523,131,765,680, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
523:523
131:131
765:3x 3x 5x 17
680:2x 2x 2x 5x 17
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 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 9409082126400/(1x2040)
LCM = 9409082126400/2040
LCM = 4612295160
Thus, we can understand that the LCM of 264,523,131,765,680 is 4612295160.
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FAQs on LCM of 264, 523, 131, 765, 680
1. What is the LCM of 264, 523, 131, 765, 680?
Answer: LCM of 264, 523, 131, 765, 680 is 4612295160.
2. How to calculate the LCM of 264, 523, 131, 765, 680?
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, 523, 131, 765, 680.
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}.