LCM of 457, 699, 754, 944, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 457, 699, 754, 944, 380 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 457, 699, 754, 944, 380. So, keep reading to learn more.
Given numbers are 457,699,754,944,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,699,754,944,380 is 10800163386480.
Find LCM of 457,699,754,944,380 with Prime Factorization
| 2 | 457, 699, 754, 944, 380 |
| 2 | 457, 699, 377, 472, 190 |
| 457, 699, 377, 236, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 457 x 699 x 377 x 236 x 95 = 10800163386480
Therefore, the lowest common multiple of 457,699,754,944,380 is 10800163386480.
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.
457 x 699 x 754 x 944 x 380 = 86401307091840
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.
457 : 1, 457
699 : 1, 3, 233, 699
754 : 1, 2, 13, 26, 29, 58, 377, 754
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,699,754,944,380, is 1.
Now, the common factors can be found like this.
457:457
699:3x 233
754:2x 13x 29
944:2x 2x 2x 2x 59
380:2x 2x 5x 19
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 2 = 8
Therefore, the value for common factors is 8.
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 = 86401307091840/(1x8)
LCM = 86401307091840/8
LCM = 10800163386480
Thus, we can understand that the LCM of 457,699,754,944,380 is 10800163386480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 457, 699, 754, 944, 380
1. What is the LCM of 457, 699, 754, 944, 380?
Answer: LCM of 457, 699, 754, 944, 380 is 10800163386480.
2. How to calculate the LCM of 457, 699, 754, 944, 380?
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 457, 699, 754, 944, 380.
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}.