LCM of 181, 303, 693, 150, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 303, 693, 150, 277 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 181, 303, 693, 150, 277. So, keep reading to learn more.
Given numbers are 181,303,693,150,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,303,693,150,277 is 175461952050.
Find LCM of 181,303,693,150,277 with Prime Factorization
| 3 | 181, 303, 693, 150, 277 |
| 181, 101, 231, 50, 277 |
Multiply the prime numbers at the bottom and the left side.
3 x 181 x 101 x 231 x 50 x 277 = 175461952050
Therefore, the lowest common multiple of 181,303,693,150,277 is 175461952050.
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.
181 x 303 x 693 x 150 x 277 = 1579157568450
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.
181 : 1, 181
303 : 1, 3, 101, 303
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,303,693,150,277, is 1.
Now, the common factors can be found like this.
181:181
303:3x 101
693:3x 3x 7x 11
150:2x 3x 5x 5
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 1579157568450/(1x9)
LCM = 1579157568450/9
LCM = 175461952050
Thus, we can understand that the LCM of 181,303,693,150,277 is 175461952050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 181, 303, 693, 150, 277
1. What is the LCM of 181, 303, 693, 150, 277?
Answer: LCM of 181, 303, 693, 150, 277 is 175461952050.
2. How to calculate the LCM of 181, 303, 693, 150, 277?
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 181, 303, 693, 150, 277.
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}.