LCM of 902, 799, 179, 291, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 799, 179, 291, 726 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 902, 799, 179, 291, 726. So, keep reading to learn more.
Given numbers are 902,799,179,291,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,799,179,291,726 is 412944819342.
Find LCM of 902,799,179,291,726 with Prime Factorization
| 2 | 902, 799, 179, 291, 726 |
| 3 | 451, 799, 179, 291, 363 |
| 11 | 451, 799, 179, 97, 121 |
| 41, 799, 179, 97, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 799 x 179 x 97 x 11 = 412944819342
Therefore, the lowest common multiple of 902,799,179,291,726 is 412944819342.
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.
902 x 799 x 179 x 291 x 726 = 27254358076572
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
799 : 1, 17, 47, 799
179 : 1, 179
291 : 1, 3, 97, 291
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,799,179,291,726, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
799:17x 47
179:179
291:3x 97
726:2x 3x 11x 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 11 = 66
Therefore, the value for common factors is 66.
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 = 27254358076572/(1x66)
LCM = 27254358076572/66
LCM = 412944819342
Thus, we can understand that the LCM of 902,799,179,291,726 is 412944819342.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 799, 179, 291, 726
1. What is the LCM of 902, 799, 179, 291, 726?
Answer: LCM of 902, 799, 179, 291, 726 is 412944819342.
2. How to calculate the LCM of 902, 799, 179, 291, 726?
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 902, 799, 179, 291, 726.
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}.