LCM of 764, 899, 736, 383, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 899, 736, 383, 812 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, 899, 736, 383, 812. So, keep reading to learn more.
Given numbers are 764,899,736,383,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,899,736,383,812 is 338818946144.
Find LCM of 764,899,736,383,812 with Prime Factorization
| 2 | 764, 899, 736, 383, 812 |
| 2 | 382, 899, 368, 383, 406 |
| 29 | 191, 899, 184, 383, 203 |
| 191, 31, 184, 383, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 191 x 31 x 184 x 383 x 7 = 338818946144
Therefore, the lowest common multiple of 764,899,736,383,812 is 338818946144.
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 899 x 736 x 383 x 812 = 157211991010816
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
899 : 1, 29, 31, 899
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
383 : 1, 383
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,899,736,383,812, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
899:29x 31
736:2x 2x 2x 2x 2x 23
383:383
812:2x 2x 7x 29
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 29 = 464
Therefore, the value for common factors is 464.
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 = 157211991010816/(1x464)
LCM = 157211991010816/464
LCM = 338818946144
Thus, we can understand that the LCM of 764,899,736,383,812 is 338818946144.
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FAQs on LCM of 764, 899, 736, 383, 812
1. What is the LCM of 764, 899, 736, 383, 812?
Answer: LCM of 764, 899, 736, 383, 812 is 338818946144.
2. How to calculate the LCM of 764, 899, 736, 383, 812?
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, 899, 736, 383, 812.
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}.