LCM of 841, 320, 225, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 320, 225, 902 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 841, 320, 225, 902. So, keep reading to learn more.
Given numbers are 841,320,225,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,320,225,902 is 5461790400.
Find LCM of 841,320,225,902 with Prime Factorization
| 2 | 841, 320, 225, 902 |
| 5 | 841, 160, 225, 451 |
| 841, 32, 45, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 841 x 32 x 45 x 451 = 5461790400
Therefore, the lowest common multiple of 841,320,225,902 is 5461790400.
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.
841 x 320 x 225 x 902 = 54617904000
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.
841 : 1, 29, 841
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,320,225,902, is 1.
Now, the common factors can be found like this.
841:29x 29
320:2x 2x 2x 2x 2x 2x 5
225:3x 3x 5x 5
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 54617904000/(1x10)
LCM = 54617904000/10
LCM = 5461790400
Thus, we can understand that the LCM of 841,320,225,902 is 5461790400.
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FAQs on LCM of 841, 320, 225, 902
1. What is the LCM of 841, 320, 225, 902?
Answer: LCM of 841, 320, 225, 902 is 5461790400.
2. How to calculate the LCM of 841, 320, 225, 902?
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 841, 320, 225, 902.
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}.