LCM of 254, 150, 750, 514, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 150, 750, 514, 891 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, 150, 750, 514, 891. So, keep reading to learn more.
Given numbers are 254,150,750,514,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,150,750,514,891 is 7270337250.
Find LCM of 254,150,750,514,891 with Prime Factorization
| 2 | 254, 150, 750, 514, 891 |
| 3 | 127, 75, 375, 257, 891 |
| 5 | 127, 25, 125, 257, 297 |
| 5 | 127, 5, 25, 257, 297 |
| 127, 1, 5, 257, 297 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 127 x 1 x 5 x 257 x 297 = 7270337250
Therefore, the lowest common multiple of 254,150,750,514,891 is 7270337250.
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 150 x 750 x 514 x 891 = 13086607050000
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
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
514 : 1, 2, 257, 514
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,150,750,514,891, is 1.
Now, the common factors can be found like this.
254:2x 127
150:2x 3x 5x 5
750:2x 3x 5x 5x 5
514:2x 257
891:3x 3x 3x 3x 11
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 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 13086607050000/(1x1800)
LCM = 13086607050000/1800
LCM = 7270337250
Thus, we can understand that the LCM of 254,150,750,514,891 is 7270337250.
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FAQs on LCM of 254, 150, 750, 514, 891
1. What is the LCM of 254, 150, 750, 514, 891?
Answer: LCM of 254, 150, 750, 514, 891 is 7270337250.
2. How to calculate the LCM of 254, 150, 750, 514, 891?
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, 150, 750, 514, 891.
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}.