LCM of 606, 950, 475, 909, 925
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 950, 475, 909, 925 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, 950, 475, 909, 925. So, keep reading to learn more.
Given numbers are 606,950,475,909,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,950,475,909,925 is 31951350.
Find LCM of 606,950,475,909,925 with Prime Factorization
| 2 | 606, 950, 475, 909, 925 |
| 3 | 303, 475, 475, 909, 925 |
| 5 | 101, 475, 475, 303, 925 |
| 5 | 101, 95, 95, 303, 185 |
| 19 | 101, 19, 19, 303, 37 |
| 101 | 101, 1, 1, 303, 37 |
| 1, 1, 1, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 19 x 101 x 1 x 1 x 1 x 3 x 37 = 31951350
Therefore, the lowest common multiple of 606,950,475,909,925 is 31951350.
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 950 x 475 x 909 x 925 = 229929902437500
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
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
475 : 1, 5, 19, 25, 95, 475
909 : 1, 3, 9, 101, 303, 909
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,950,475,909,925, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
950:2x 5x 5x 19
475:5x 5x 19
909:3x 3x 101
925:5x 5x 37
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 5x 5x 5x 5x 19x 101 = 7196250
Therefore, the value for common factors is 7196250.
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 = 229929902437500/(1x7196250)
LCM = 229929902437500/7196250
LCM = 31951350
Thus, we can understand that the LCM of 606,950,475,909,925 is 31951350.
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FAQs on LCM of 606, 950, 475, 909, 925
1. What is the LCM of 606, 950, 475, 909, 925?
Answer: LCM of 606, 950, 475, 909, 925 is 31951350.
2. How to calculate the LCM of 606, 950, 475, 909, 925?
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, 950, 475, 909, 925.
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}.