LCM of 914, 792, 361, 975, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 792, 361, 975, 254 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 914, 792, 361, 975, 254. So, keep reading to learn more.
Given numbers are 914,792,361,975,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,792,361,975,254 is 5393065134600.
Find LCM of 914,792,361,975,254 with Prime Factorization
| 2 | 914, 792, 361, 975, 254 |
| 3 | 457, 396, 361, 975, 127 |
| 457, 132, 361, 325, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 457 x 132 x 361 x 325 x 127 = 5393065134600
Therefore, the lowest common multiple of 914,792,361,975,254 is 5393065134600.
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.
914 x 792 x 361 x 975 x 254 = 64716781615200
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.
914 : 1, 2, 457, 914
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
361 : 1, 19, 361
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,792,361,975,254, is 1.
Now, the common factors can be found like this.
914:2x 457
792:2x 2x 2x 3x 3x 11
361:19x 19
975:3x 5x 5x 13
254:2x 127
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 3 = 12
Therefore, the value for common factors is 12.
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 = 64716781615200/(1x12)
LCM = 64716781615200/12
LCM = 5393065134600
Thus, we can understand that the LCM of 914,792,361,975,254 is 5393065134600.
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FAQs on LCM of 914, 792, 361, 975, 254
1. What is the LCM of 914, 792, 361, 975, 254?
Answer: LCM of 914, 792, 361, 975, 254 is 5393065134600.
2. How to calculate the LCM of 914, 792, 361, 975, 254?
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 914, 792, 361, 975, 254.
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}.