LCM of 254, 354, 480, 170, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 354, 480, 170, 905 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, 354, 480, 170, 905. So, keep reading to learn more.
Given numbers are 254,354,480,170,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,354,480,170,905 is 11066861280.
Find LCM of 254,354,480,170,905 with Prime Factorization
| 2 | 254, 354, 480, 170, 905 |
| 3 | 127, 177, 240, 85, 905 |
| 5 | 127, 59, 80, 85, 905 |
| 127, 59, 16, 17, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 127 x 59 x 16 x 17 x 181 = 11066861280
Therefore, the lowest common multiple of 254,354,480,170,905 is 11066861280.
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 354 x 480 x 170 x 905 = 6640116768000
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
354 : 1, 2, 3, 6, 59, 118, 177, 354
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
170 : 1, 2, 5, 10, 17, 34, 85, 170
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,354,480,170,905, is 1.
Now, the common factors can be found like this.
254:2x 127
354:2x 3x 59
480:2x 2x 2x 2x 2x 3x 5
170:2x 5x 17
905:5x 181
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 6640116768000/(1x600)
LCM = 6640116768000/600
LCM = 11066861280
Thus, we can understand that the LCM of 254,354,480,170,905 is 11066861280.
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FAQs on LCM of 254, 354, 480, 170, 905
1. What is the LCM of 254, 354, 480, 170, 905?
Answer: LCM of 254, 354, 480, 170, 905 is 11066861280.
2. How to calculate the LCM of 254, 354, 480, 170, 905?
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, 354, 480, 170, 905.
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}.