LCM of 123, 956, 303, 876, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 956, 303, 876, 618 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 123, 956, 303, 876, 618. So, keep reading to learn more.
Given numbers are 123,956,303,876,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,956,303,876,618 is 89298561372.
Find LCM of 123,956,303,876,618 with Prime Factorization
| 2 | 123, 956, 303, 876, 618 |
| 2 | 123, 478, 303, 438, 309 |
| 3 | 123, 239, 303, 219, 309 |
| 41, 239, 101, 73, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 239 x 101 x 73 x 103 = 89298561372
Therefore, the lowest common multiple of 123,956,303,876,618 is 89298561372.
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.
123 x 956 x 303 x 876 x 618 = 19288489256352
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.
123 : 1, 3, 41, 123
956 : 1, 2, 4, 239, 478, 956
303 : 1, 3, 101, 303
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,956,303,876,618, is 1.
Now, the common factors can be found like this.
123:3x 41
956:2x 2x 239
303:3x 101
876:2x 2x 3x 73
618:2x 3x 103
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 19288489256352/(1x216)
LCM = 19288489256352/216
LCM = 89298561372
Thus, we can understand that the LCM of 123,956,303,876,618 is 89298561372.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 123, 956, 303, 876, 618
1. What is the LCM of 123, 956, 303, 876, 618?
Answer: LCM of 123, 956, 303, 876, 618 is 89298561372.
2. How to calculate the LCM of 123, 956, 303, 876, 618?
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 123, 956, 303, 876, 618.
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}.