LCM of 254, 513, 508, 894, 250
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 513, 508, 894, 250 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, 513, 508, 894, 250. So, keep reading to learn more.
Given numbers are 254,513,508,894,250
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,513,508,894,250 is 4853749500.
Find LCM of 254,513,508,894,250 with Prime Factorization
| 2 | 254, 513, 508, 894, 250 |
| 3 | 127, 513, 254, 447, 125 |
| 127 | 127, 171, 254, 149, 125 |
| 1, 171, 2, 149, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 1 x 171 x 2 x 149 x 125 = 4853749500
Therefore, the lowest common multiple of 254,513,508,894,250 is 4853749500.
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 513 x 508 x 894 x 250 = 14794228476000
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
513 : 1, 3, 9, 19, 27, 57, 171, 513
508 : 1, 2, 4, 127, 254, 508
894 : 1, 2, 3, 6, 149, 298, 447, 894
250 : 1, 2, 5, 10, 25, 50, 125, 250
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,513,508,894,250, is 1.
Now, the common factors can be found like this.
254:2x 127
513:3x 3x 3x 19
508:2x 2x 127
894:2x 3x 149
250:2x 5x 5x 5
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 127 = 3048
Therefore, the value for common factors is 3048.
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 = 14794228476000/(1x3048)
LCM = 14794228476000/3048
LCM = 4853749500
Thus, we can understand that the LCM of 254,513,508,894,250 is 4853749500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 513, 508, 894, 250
1. What is the LCM of 254, 513, 508, 894, 250?
Answer: LCM of 254, 513, 508, 894, 250 is 4853749500.
2. How to calculate the LCM of 254, 513, 508, 894, 250?
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, 513, 508, 894, 250.
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}.