LCM of 471, 375, 415, 842, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 375, 415, 842, 990 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 471, 375, 415, 842, 990. So, keep reading to learn more.
Given numbers are 471,375,415,842,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,375,415,842,990 is 135779762250.
Find LCM of 471,375,415,842,990 with Prime Factorization
| 2 | 471, 375, 415, 842, 990 |
| 3 | 471, 375, 415, 421, 495 |
| 5 | 157, 125, 415, 421, 165 |
| 157, 25, 83, 421, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 157 x 25 x 83 x 421 x 33 = 135779762250
Therefore, the lowest common multiple of 471,375,415,842,990 is 135779762250.
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.
471 x 375 x 415 x 842 x 990 = 61100893012500
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.
471 : 1, 3, 157, 471
375 : 1, 3, 5, 15, 25, 75, 125, 375
415 : 1, 5, 83, 415
842 : 1, 2, 421, 842
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,375,415,842,990, is 1.
Now, the common factors can be found like this.
471:3x 157
375:3x 5x 5x 5
415:5x 83
842:2x 421
990:2x 3x 3x 5x 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 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 61100893012500/(1x450)
LCM = 61100893012500/450
LCM = 135779762250
Thus, we can understand that the LCM of 471,375,415,842,990 is 135779762250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 375, 415, 842, 990
1. What is the LCM of 471, 375, 415, 842, 990?
Answer: LCM of 471, 375, 415, 842, 990 is 135779762250.
2. How to calculate the LCM of 471, 375, 415, 842, 990?
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 471, 375, 415, 842, 990.
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}.