LCM of 828, 317, 695, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 317, 695, 278 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 828, 317, 695, 278. So, keep reading to learn more.
Given numbers are 828,317,695,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,317,695,278 is 182420820.
Find LCM of 828,317,695,278 with Prime Factorization
| 2 | 828, 317, 695, 278 |
| 139 | 414, 317, 695, 139 |
| 414, 317, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 414 x 317 x 5 x 1 = 182420820
Therefore, the lowest common multiple of 828,317,695,278 is 182420820.
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.
828 x 317 x 695 x 278 = 50712987960
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
317 : 1, 317
695 : 1, 5, 139, 695
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,317,695,278, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
317:317
695:5x 139
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 139 = 278
Therefore, the value for common factors is 278.
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 = 50712987960/(1x278)
LCM = 50712987960/278
LCM = 182420820
Thus, we can understand that the LCM of 828,317,695,278 is 182420820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 828, 317, 695, 278
1. What is the LCM of 828, 317, 695, 278?
Answer: LCM of 828, 317, 695, 278 is 182420820.
2. How to calculate the LCM of 828, 317, 695, 278?
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 828, 317, 695, 278.
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}.