LCM of 925, 404, 655, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 404, 655, 132 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 925, 404, 655, 132. So, keep reading to learn more.
Given numbers are 925,404,655,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,404,655,132 is 1615505100.
Find LCM of 925,404,655,132 with Prime Factorization
| 2 | 925, 404, 655, 132 |
| 2 | 925, 202, 655, 66 |
| 5 | 925, 101, 655, 33 |
| 185, 101, 131, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 185 x 101 x 131 x 33 = 1615505100
Therefore, the lowest common multiple of 925,404,655,132 is 1615505100.
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.
925 x 404 x 655 x 132 = 32310102000
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.
925 : 1, 5, 25, 37, 185, 925
404 : 1, 2, 4, 101, 202, 404
655 : 1, 5, 131, 655
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,404,655,132, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
404:2x 2x 101
655:5x 131
132:2x 2x 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 5 = 20
Therefore, the value for common factors is 20.
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 = 32310102000/(1x20)
LCM = 32310102000/20
LCM = 1615505100
Thus, we can understand that the LCM of 925,404,655,132 is 1615505100.
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FAQs on LCM of 925, 404, 655, 132
1. What is the LCM of 925, 404, 655, 132?
Answer: LCM of 925, 404, 655, 132 is 1615505100.
2. How to calculate the LCM of 925, 404, 655, 132?
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 925, 404, 655, 132.
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}.