LCM of 254, 629, 350, 651, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 629, 350, 651, 425 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, 629, 350, 651, 425. So, keep reading to learn more.
Given numbers are 254,629,350,651,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,629,350,651,425 is 2600191650.
Find LCM of 254,629,350,651,425 with Prime Factorization
| 2 | 254, 629, 350, 651, 425 |
| 5 | 127, 629, 175, 651, 425 |
| 5 | 127, 629, 35, 651, 85 |
| 7 | 127, 629, 7, 651, 17 |
| 17 | 127, 629, 1, 93, 17 |
| 127, 37, 1, 93, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 17 x 127 x 37 x 1 x 93 x 1 = 2600191650
Therefore, the lowest common multiple of 254,629,350,651,425 is 2600191650.
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 629 x 350 x 651 x 425 = 15471140317500
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
629 : 1, 17, 37, 629
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
651 : 1, 3, 7, 21, 31, 93, 217, 651
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,629,350,651,425, is 1.
Now, the common factors can be found like this.
254:2x 127
629:17x 37
350:2x 5x 5x 7
651:3x 7x 31
425:5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 17 = 5950
Therefore, the value for common factors is 5950.
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 = 15471140317500/(1x5950)
LCM = 15471140317500/5950
LCM = 2600191650
Thus, we can understand that the LCM of 254,629,350,651,425 is 2600191650.
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FAQs on LCM of 254, 629, 350, 651, 425
1. What is the LCM of 254, 629, 350, 651, 425?
Answer: LCM of 254, 629, 350, 651, 425 is 2600191650.
2. How to calculate the LCM of 254, 629, 350, 651, 425?
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, 629, 350, 651, 425.
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}.