LCM of 861, 403, 124, 716, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 403, 124, 716, 484 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 861, 403, 124, 716, 484. So, keep reading to learn more.
Given numbers are 861,403,124,716,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,403,124,716,484 is 30061219188.
Find LCM of 861,403,124,716,484 with Prime Factorization
| 2 | 861, 403, 124, 716, 484 |
| 2 | 861, 403, 62, 358, 242 |
| 31 | 861, 403, 31, 179, 121 |
| 861, 13, 1, 179, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 861 x 13 x 1 x 179 x 121 = 30061219188
Therefore, the lowest common multiple of 861,403,124,716,484 is 30061219188.
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.
861 x 403 x 124 x 716 x 484 = 14910364717248
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
403 : 1, 13, 31, 403
124 : 1, 2, 4, 31, 62, 124
716 : 1, 2, 4, 179, 358, 716
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,403,124,716,484, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
403:13x 31
124:2x 2x 31
716:2x 2x 179
484:2x 2x 11x 11
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 2x 31 = 496
Therefore, the value for common factors is 496.
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 = 14910364717248/(1x496)
LCM = 14910364717248/496
LCM = 30061219188
Thus, we can understand that the LCM of 861,403,124,716,484 is 30061219188.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 861, 403, 124, 716, 484
1. What is the LCM of 861, 403, 124, 716, 484?
Answer: LCM of 861, 403, 124, 716, 484 is 30061219188.
2. How to calculate the LCM of 861, 403, 124, 716, 484?
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 861, 403, 124, 716, 484.
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}.