LCM of 618, 388, 378, 161, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 388, 378, 161, 253 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 618, 388, 378, 161, 253. So, keep reading to learn more.
Given numbers are 618,388,378,161,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,388,378,161,253 is 1910958588.
Find LCM of 618,388,378,161,253 with Prime Factorization
| 2 | 618, 388, 378, 161, 253 |
| 3 | 309, 194, 189, 161, 253 |
| 7 | 103, 194, 63, 161, 253 |
| 23 | 103, 194, 9, 23, 253 |
| 103, 194, 9, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 103 x 194 x 9 x 1 x 11 = 1910958588
Therefore, the lowest common multiple of 618,388,378,161,253 is 1910958588.
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.
618 x 388 x 378 x 161 x 253 = 3691971992016
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
388 : 1, 2, 4, 97, 194, 388
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
161 : 1, 7, 23, 161
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,388,378,161,253, is 1.
Now, the common factors can be found like this.
618:2x 3x 103
388:2x 2x 97
378:2x 3x 3x 3x 7
161:7x 23
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 23 = 1932
Therefore, the value for common factors is 1932.
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 = 3691971992016/(1x1932)
LCM = 3691971992016/1932
LCM = 1910958588
Thus, we can understand that the LCM of 618,388,378,161,253 is 1910958588.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 618, 388, 378, 161, 253
1. What is the LCM of 618, 388, 378, 161, 253?
Answer: LCM of 618, 388, 378, 161, 253 is 1910958588.
2. How to calculate the LCM of 618, 388, 378, 161, 253?
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 618, 388, 378, 161, 253.
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}.