LCM of 764, 589, 448, 248, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 589, 448, 248, 852 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 764, 589, 448, 248, 852. So, keep reading to learn more.
Given numbers are 764,589,448,248,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,589,448,248,852 is 10735104576.
Find LCM of 764,589,448,248,852 with Prime Factorization
| 2 | 764, 589, 448, 248, 852 |
| 2 | 382, 589, 224, 124, 426 |
| 2 | 191, 589, 112, 62, 213 |
| 31 | 191, 589, 56, 31, 213 |
| 191, 19, 56, 1, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 191 x 19 x 56 x 1 x 213 = 10735104576
Therefore, the lowest common multiple of 764,589,448,248,852 is 10735104576.
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.
764 x 589 x 448 x 248 x 852 = 42596894957568
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.
764 : 1, 2, 4, 191, 382, 764
589 : 1, 19, 31, 589
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
248 : 1, 2, 4, 8, 31, 62, 124, 248
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,589,448,248,852, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
589:19x 31
448:2x 2x 2x 2x 2x 2x 7
248:2x 2x 2x 31
852:2x 2x 3x 71
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 2x 31 = 3968
Therefore, the value for common factors is 3968.
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 = 42596894957568/(1x3968)
LCM = 42596894957568/3968
LCM = 10735104576
Thus, we can understand that the LCM of 764,589,448,248,852 is 10735104576.
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FAQs on LCM of 764, 589, 448, 248, 852
1. What is the LCM of 764, 589, 448, 248, 852?
Answer: LCM of 764, 589, 448, 248, 852 is 10735104576.
2. How to calculate the LCM of 764, 589, 448, 248, 852?
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 764, 589, 448, 248, 852.
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}.