LCM of 618, 827, 361, 618, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 827, 361, 618, 623 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, 827, 361, 618, 623. So, keep reading to learn more.
Given numbers are 618,827,361,618,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,827,361,618,623 is 114944774658.
Find LCM of 618,827,361,618,623 with Prime Factorization
| 2 | 618, 827, 361, 618, 623 |
| 3 | 309, 827, 361, 309, 623 |
| 103 | 103, 827, 361, 103, 623 |
| 1, 827, 361, 1, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 1 x 827 x 361 x 1 x 623 = 114944774658
Therefore, the lowest common multiple of 618,827,361,618,623 is 114944774658.
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 827 x 361 x 618 x 623 = 71035870738644
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
827 : 1, 827
361 : 1, 19, 361
618 : 1, 2, 3, 6, 103, 206, 309, 618
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,827,361,618,623, is 1.
Now, the common factors can be found like this.
618:2x 3x 103
827:827
361:19x 19
618:2x 3x 103
623:7x 89
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 103 = 618
Therefore, the value for common factors is 618.
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 = 71035870738644/(1x618)
LCM = 71035870738644/618
LCM = 114944774658
Thus, we can understand that the LCM of 618,827,361,618,623 is 114944774658.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 618, 827, 361, 618, 623
1. What is the LCM of 618, 827, 361, 618, 623?
Answer: LCM of 618, 827, 361, 618, 623 is 114944774658.
2. How to calculate the LCM of 618, 827, 361, 618, 623?
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, 827, 361, 618, 623.
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}.