LCM of 821, 255, 316, 158, 863
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 255, 316, 158, 863 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 821, 255, 316, 158, 863. So, keep reading to learn more.
Given numbers are 821,255,316,158,863
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,255,316,158,863 is 57092783340.
Find LCM of 821,255,316,158,863 with Prime Factorization
| 2 | 821, 255, 316, 158, 863 |
| 79 | 821, 255, 158, 79, 863 |
| 821, 255, 2, 1, 863 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 821 x 255 x 2 x 1 x 863 = 57092783340
Therefore, the lowest common multiple of 821,255,316,158,863 is 57092783340.
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.
821 x 255 x 316 x 158 x 863 = 9020659767720
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.
821 : 1, 821
255 : 1, 3, 5, 15, 17, 51, 85, 255
316 : 1, 2, 4, 79, 158, 316
158 : 1, 2, 79, 158
863 : 1, 863
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,255,316,158,863, is 1.
Now, the common factors can be found like this.
821:821
255:3x 5x 17
316:2x 2x 79
158:2x 79
863:863
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 79 = 158
Therefore, the value for common factors is 158.
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 = 9020659767720/(1x158)
LCM = 9020659767720/158
LCM = 57092783340
Thus, we can understand that the LCM of 821,255,316,158,863 is 57092783340.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 821, 255, 316, 158, 863
1. What is the LCM of 821, 255, 316, 158, 863?
Answer: LCM of 821, 255, 316, 158, 863 is 57092783340.
2. How to calculate the LCM of 821, 255, 316, 158, 863?
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 821, 255, 316, 158, 863.
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}.