LCM of 868, 403, 441, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 403, 441, 357 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 868, 403, 441, 357. So, keep reading to learn more.
Given numbers are 868,403,441,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,403,441,357 is 12085164.
Find LCM of 868,403,441,357 with Prime Factorization
| 3 | 868, 403, 441, 357 |
| 7 | 868, 403, 147, 119 |
| 31 | 124, 403, 21, 17 |
| 4, 13, 21, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 31 x 4 x 13 x 21 x 17 = 12085164
Therefore, the lowest common multiple of 868,403,441,357 is 12085164.
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.
868 x 403 x 441 x 357 = 55072092348
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
403 : 1, 13, 31, 403
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,403,441,357, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
403:13x 31
441:3x 3x 7x 7
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 31 = 4557
Therefore, the value for common factors is 4557.
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 = 55072092348/(1x4557)
LCM = 55072092348/4557
LCM = 12085164
Thus, we can understand that the LCM of 868,403,441,357 is 12085164.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 868, 403, 441, 357
1. What is the LCM of 868, 403, 441, 357?
Answer: LCM of 868, 403, 441, 357 is 12085164.
2. How to calculate the LCM of 868, 403, 441, 357?
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 868, 403, 441, 357.
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}.