LCM of 606, 435, 101, 725
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 435, 101, 725 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 606, 435, 101, 725. So, keep reading to learn more.
Given numbers are 606,435,101,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,435,101,725 is 439350.
Find LCM of 606,435,101,725 with Prime Factorization
| 3 | 606, 435, 101, 725 |
| 5 | 202, 145, 101, 725 |
| 29 | 202, 29, 101, 145 |
| 101 | 202, 1, 101, 5 |
| 2, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 101 x 2 x 1 x 1 x 5 = 439350
Therefore, the lowest common multiple of 606,435,101,725 is 439350.
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.
606 x 435 x 101 x 725 = 19302842250
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
435 : 1, 3, 5, 15, 29, 87, 145, 435
101 : 1, 101
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,435,101,725, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
435:3x 5x 29
101:101
725:5x 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.
3x 5x 29x 101 = 43935
Therefore, the value for common factors is 43935.
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 = 19302842250/(1x43935)
LCM = 19302842250/43935
LCM = 439350
Thus, we can understand that the LCM of 606,435,101,725 is 439350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 606, 435, 101, 725
1. What is the LCM of 606, 435, 101, 725?
Answer: LCM of 606, 435, 101, 725 is 439350.
2. How to calculate the LCM of 606, 435, 101, 725?
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 606, 435, 101, 725.
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}.