LCM of 849, 906, 488, 841, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 906, 488, 841, 575 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 849, 906, 488, 841, 575. So, keep reading to learn more.
Given numbers are 849,906,488,841,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,906,488,841,575 is 30252989735400.
Find LCM of 849,906,488,841,575 with Prime Factorization
| 2 | 849, 906, 488, 841, 575 |
| 3 | 849, 453, 244, 841, 575 |
| 283, 151, 244, 841, 575 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 283 x 151 x 244 x 841 x 575 = 30252989735400
Therefore, the lowest common multiple of 849,906,488,841,575 is 30252989735400.
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.
849 x 906 x 488 x 841 x 575 = 181517938412400
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.
849 : 1, 3, 283, 849
906 : 1, 2, 3, 6, 151, 302, 453, 906
488 : 1, 2, 4, 8, 61, 122, 244, 488
841 : 1, 29, 841
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,906,488,841,575, is 1.
Now, the common factors can be found like this.
849:3x 283
906:2x 3x 151
488:2x 2x 2x 61
841:29x 29
575:5x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 181517938412400/(1x6)
LCM = 181517938412400/6
LCM = 30252989735400
Thus, we can understand that the LCM of 849,906,488,841,575 is 30252989735400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 849, 906, 488, 841, 575
1. What is the LCM of 849, 906, 488, 841, 575?
Answer: LCM of 849, 906, 488, 841, 575 is 30252989735400.
2. How to calculate the LCM of 849, 906, 488, 841, 575?
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 849, 906, 488, 841, 575.
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}.