LCM of 902, 741, 129, 181
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 741, 129, 181 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, 741, 129, 181. So, keep reading to learn more.
Given numbers are 902,741,129,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,741,129,181 is 5202017106.
Find LCM of 902,741,129,181 with Prime Factorization
| 3 | 902, 741, 129, 181 |
| 902, 247, 43, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 902 x 247 x 43 x 181 = 5202017106
Therefore, the lowest common multiple of 902,741,129,181 is 5202017106.
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 741 x 129 x 181 = 15606051318
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
129 : 1, 3, 43, 129
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,741,129,181, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
741:3x 13x 19
129:3x 43
181:181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 15606051318/(1x3)
LCM = 15606051318/3
LCM = 5202017106
Thus, we can understand that the LCM of 902,741,129,181 is 5202017106.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 902, 741, 129, 181
1. What is the LCM of 902, 741, 129, 181?
Answer: LCM of 902, 741, 129, 181 is 5202017106.
2. How to calculate the LCM of 902, 741, 129, 181?
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, 741, 129, 181.
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}.