LCM of 369, 223, 110, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 223, 110, 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 369, 223, 110, 902. So, keep reading to learn more.
Given numbers are 369,223,110,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,223,110,902 is 9051570.
Find LCM of 369,223,110,902 with Prime Factorization
| 2 | 369, 223, 110, 902 |
| 11 | 369, 223, 55, 451 |
| 41 | 369, 223, 5, 41 |
| 9, 223, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 9 x 223 x 5 x 1 = 9051570
Therefore, the lowest common multiple of 369,223,110,902 is 9051570.
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.
369 x 223 x 110 x 902 = 8164516140
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.
369 : 1, 3, 9, 41, 123, 369
223 : 1, 223
110 : 1, 2, 5, 10, 11, 22, 55, 110
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 369,223,110,902, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
223:223
110:2x 5x 11
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 11x 41 = 902
Therefore, the value for common factors is 902.
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 = 8164516140/(1x902)
LCM = 8164516140/902
LCM = 9051570
Thus, we can understand that the LCM of 369,223,110,902 is 9051570.
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FAQs on LCM of 369, 223, 110, 902
1. What is the LCM of 369, 223, 110, 902?
Answer: LCM of 369, 223, 110, 902 is 9051570.
2. How to calculate the LCM of 369, 223, 110, 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 369, 223, 110, 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}.