LCM of 254, 801, 381, 635, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 801, 381, 635, 586 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, 801, 381, 635, 586. So, keep reading to learn more.
Given numbers are 254,801,381,635,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,801,381,635,586 is 298060110.
Find LCM of 254,801,381,635,586 with Prime Factorization
| 2 | 254, 801, 381, 635, 586 |
| 3 | 127, 801, 381, 635, 293 |
| 127 | 127, 267, 127, 635, 293 |
| 1, 267, 1, 5, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 1 x 267 x 1 x 5 x 293 = 298060110
Therefore, the lowest common multiple of 254,801,381,635,586 is 298060110.
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 801 x 381 x 635 x 586 = 28844469085140
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
801 : 1, 3, 9, 89, 267, 801
381 : 1, 3, 127, 381
635 : 1, 5, 127, 635
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,801,381,635,586, is 1.
Now, the common factors can be found like this.
254:2x 127
801:3x 3x 89
381:3x 127
635:5x 127
586:2x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 127x 127 = 96774
Therefore, the value for common factors is 96774.
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 = 28844469085140/(1x96774)
LCM = 28844469085140/96774
LCM = 298060110
Thus, we can understand that the LCM of 254,801,381,635,586 is 298060110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 801, 381, 635, 586
1. What is the LCM of 254, 801, 381, 635, 586?
Answer: LCM of 254, 801, 381, 635, 586 is 298060110.
2. How to calculate the LCM of 254, 801, 381, 635, 586?
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, 801, 381, 635, 586.
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}.