LCM of 283, 179, 942, 628, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 179, 942, 628, 829 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 283, 179, 942, 628, 829. So, keep reading to learn more.
Given numbers are 283,179,942,628,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,179,942,628,829 is 79117926252.
Find LCM of 283,179,942,628,829 with Prime Factorization
| 2 | 283, 179, 942, 628, 829 |
| 157 | 283, 179, 471, 314, 829 |
| 283, 179, 3, 2, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 283 x 179 x 3 x 2 x 829 = 79117926252
Therefore, the lowest common multiple of 283,179,942,628,829 is 79117926252.
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.
283 x 179 x 942 x 628 x 829 = 24843028843128
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.
283 : 1, 283
179 : 1, 179
942 : 1, 2, 3, 6, 157, 314, 471, 942
628 : 1, 2, 4, 157, 314, 628
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,179,942,628,829, is 1.
Now, the common factors can be found like this.
283:283
179:179
942:2x 3x 157
628:2x 2x 157
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 157 = 314
Therefore, the value for common factors is 314.
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 = 24843028843128/(1x314)
LCM = 24843028843128/314
LCM = 79117926252
Thus, we can understand that the LCM of 283,179,942,628,829 is 79117926252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 179, 942, 628, 829
1. What is the LCM of 283, 179, 942, 628, 829?
Answer: LCM of 283, 179, 942, 628, 829 is 79117926252.
2. How to calculate the LCM of 283, 179, 942, 628, 829?
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 283, 179, 942, 628, 829.
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}.