LCM of 290, 145, 725, 187, 631
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 145, 725, 187, 631 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 290, 145, 725, 187, 631. So, keep reading to learn more.
Given numbers are 290,145,725,187,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,145,725,187,631 is 171095650.
Find LCM of 290,145,725,187,631 with Prime Factorization
| 5 | 290, 145, 725, 187, 631 |
| 29 | 58, 29, 145, 187, 631 |
| 2, 1, 5, 187, 631 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 2 x 1 x 5 x 187 x 631 = 171095650
Therefore, the lowest common multiple of 290,145,725,187,631 is 171095650.
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.
290 x 145 x 725 x 187 x 631 = 3597286041250
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
145 : 1, 5, 29, 145
725 : 1, 5, 25, 29, 145, 725
187 : 1, 11, 17, 187
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,145,725,187,631, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
145:5x 29
725:5x 5x 29
187:11x 17
631:631
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 29x 29 = 21025
Therefore, the value for common factors is 21025.
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 = 3597286041250/(1x21025)
LCM = 3597286041250/21025
LCM = 171095650
Thus, we can understand that the LCM of 290,145,725,187,631 is 171095650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 290, 145, 725, 187, 631
1. What is the LCM of 290, 145, 725, 187, 631?
Answer: LCM of 290, 145, 725, 187, 631 is 171095650.
2. How to calculate the LCM of 290, 145, 725, 187, 631?
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 290, 145, 725, 187, 631.
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}.