LCM of 604, 250, 241, 909, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 250, 241, 909, 475 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 604, 250, 241, 909, 475. So, keep reading to learn more.
Given numbers are 604,250,241,909,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,250,241,909,475 is 314254480500.
Find LCM of 604,250,241,909,475 with Prime Factorization
| 2 | 604, 250, 241, 909, 475 |
| 5 | 302, 125, 241, 909, 475 |
| 5 | 302, 25, 241, 909, 95 |
| 302, 5, 241, 909, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 302 x 5 x 241 x 909 x 19 = 314254480500
Therefore, the lowest common multiple of 604,250,241,909,475 is 314254480500.
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.
604 x 250 x 241 x 909 x 475 = 15712724025000
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.
604 : 1, 2, 4, 151, 302, 604
250 : 1, 2, 5, 10, 25, 50, 125, 250
241 : 1, 241
909 : 1, 3, 9, 101, 303, 909
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,250,241,909,475, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
250:2x 5x 5x 5
241:241
909:3x 3x 101
475:5x 5x 19
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 5 = 50
Therefore, the value for common factors is 50.
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 = 15712724025000/(1x50)
LCM = 15712724025000/50
LCM = 314254480500
Thus, we can understand that the LCM of 604,250,241,909,475 is 314254480500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 250, 241, 909, 475
1. What is the LCM of 604, 250, 241, 909, 475?
Answer: LCM of 604, 250, 241, 909, 475 is 314254480500.
2. How to calculate the LCM of 604, 250, 241, 909, 475?
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 604, 250, 241, 909, 475.
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}.