LCM of 452, 660, 382, 192, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 660, 382, 192, 764 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 452, 660, 382, 192, 764. So, keep reading to learn more.
Given numbers are 452,660,382,192,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,660,382,192,764 is 227916480.
Find LCM of 452,660,382,192,764 with Prime Factorization
| 2 | 452, 660, 382, 192, 764 |
| 2 | 226, 330, 191, 96, 382 |
| 3 | 113, 165, 191, 48, 191 |
| 191 | 113, 55, 191, 16, 191 |
| 113, 55, 1, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 191 x 113 x 55 x 1 x 16 x 1 = 227916480
Therefore, the lowest common multiple of 452,660,382,192,764 is 227916480.
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.
452 x 660 x 382 x 192 x 764 = 16716306309120
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.
452 : 1, 2, 4, 113, 226, 452
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
382 : 1, 2, 191, 382
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
764 : 1, 2, 4, 191, 382, 764
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,660,382,192,764, is 2.
Now, the common factors can be found like this.
452:2x 2x 113
660:2x 2x 3x 5x 11
382:2x 191
192:2x 2x 2x 2x 2x 2x 3
764:2x 2x 191
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 2x 2x 2x 3x 191 = 36672
Therefore, the value for common factors is 36672.
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 = 16716306309120/(2x36672)
LCM = 16716306309120/73344
LCM = 227916480
Thus, we can understand that the LCM of 452,660,382,192,764 is 227916480.
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FAQs on LCM of 452, 660, 382, 192, 764
1. What is the LCM of 452, 660, 382, 192, 764?
Answer: LCM of 452, 660, 382, 192, 764 is 227916480.
2. How to calculate the LCM of 452, 660, 382, 192, 764?
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 452, 660, 382, 192, 764.
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}.