LCM of 754, 900, 505, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 900, 505, 406 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 754, 900, 505, 406. So, keep reading to learn more.
Given numbers are 754,900,505,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,900,505,406 is 239885100.
Find LCM of 754,900,505,406 with Prime Factorization
| 2 | 754, 900, 505, 406 |
| 5 | 377, 450, 505, 203 |
| 29 | 377, 90, 101, 203 |
| 13, 90, 101, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 13 x 90 x 101 x 7 = 239885100
Therefore, the lowest common multiple of 754,900,505,406 is 239885100.
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.
754 x 900 x 505 x 406 = 139133358000
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
505 : 1, 5, 101, 505
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,900,505,406, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
900:2x 2x 3x 3x 5x 5
505:5x 101
406:2x 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 5x 29 = 580
Therefore, the value for common factors is 580.
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 = 139133358000/(1x580)
LCM = 139133358000/580
LCM = 239885100
Thus, we can understand that the LCM of 754,900,505,406 is 239885100.
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FAQs on LCM of 754, 900, 505, 406
1. What is the LCM of 754, 900, 505, 406?
Answer: LCM of 754, 900, 505, 406 is 239885100.
2. How to calculate the LCM of 754, 900, 505, 406?
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 754, 900, 505, 406.
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}.