LCM of 254, 280, 723, 784, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 280, 723, 784, 744 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 254, 280, 723, 784, 744. So, keep reading to learn more.
Given numbers are 254,280,723,784,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,280,723,784,744 is 11158087920.
Find LCM of 254,280,723,784,744 with Prime Factorization
| 2 | 254, 280, 723, 784, 744 |
| 2 | 127, 140, 723, 392, 372 |
| 2 | 127, 70, 723, 196, 186 |
| 3 | 127, 35, 723, 98, 93 |
| 7 | 127, 35, 241, 98, 31 |
| 127, 5, 241, 14, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 127 x 5 x 241 x 14 x 31 = 11158087920
Therefore, the lowest common multiple of 254,280,723,784,744 is 11158087920.
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.
254 x 280 x 723 x 784 x 744 = 29992940328960
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.
254 : 1, 2, 127, 254
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
723 : 1, 3, 241, 723
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,280,723,784,744, is 1.
Now, the common factors can be found like this.
254:2x 127
280:2x 2x 2x 5x 7
723:3x 241
784:2x 2x 2x 2x 7x 7
744:2x 2x 2x 3x 31
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 3x 7 = 2688
Therefore, the value for common factors is 2688.
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 = 29992940328960/(1x2688)
LCM = 29992940328960/2688
LCM = 11158087920
Thus, we can understand that the LCM of 254,280,723,784,744 is 11158087920.
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FAQs on LCM of 254, 280, 723, 784, 744
1. What is the LCM of 254, 280, 723, 784, 744?
Answer: LCM of 254, 280, 723, 784, 744 is 11158087920.
2. How to calculate the LCM of 254, 280, 723, 784, 744?
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 254, 280, 723, 784, 744.
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}.