LCM of 905, 675, 250, 281, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 675, 250, 281, 290 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 905, 675, 250, 281, 290. So, keep reading to learn more.
Given numbers are 905,675,250,281,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,675,250,281,290 is 9956040750.
Find LCM of 905,675,250,281,290 with Prime Factorization
| 2 | 905, 675, 250, 281, 290 |
| 5 | 905, 675, 125, 281, 145 |
| 5 | 181, 135, 25, 281, 29 |
| 181, 27, 5, 281, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 181 x 27 x 5 x 281 x 29 = 9956040750
Therefore, the lowest common multiple of 905,675,250,281,290 is 9956040750.
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.
905 x 675 x 250 x 281 x 290 = 12445050937500
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.
905 : 1, 5, 181, 905
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
250 : 1, 2, 5, 10, 25, 50, 125, 250
281 : 1, 281
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,675,250,281,290, is 1.
Now, the common factors can be found like this.
905:5x 181
675:3x 3x 3x 5x 5
250:2x 5x 5x 5
281:281
290:2x 5x 29
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 5x 5 = 1250
Therefore, the value for common factors is 1250.
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 = 12445050937500/(1x1250)
LCM = 12445050937500/1250
LCM = 9956040750
Thus, we can understand that the LCM of 905,675,250,281,290 is 9956040750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 905, 675, 250, 281, 290
1. What is the LCM of 905, 675, 250, 281, 290?
Answer: LCM of 905, 675, 250, 281, 290 is 9956040750.
2. How to calculate the LCM of 905, 675, 250, 281, 290?
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 905, 675, 250, 281, 290.
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}.