LCM of 315, 802, 213, 344, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 802, 213, 344, 473 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 315, 802, 213, 344, 473. So, keep reading to learn more.
Given numbers are 315,802,213,344,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,802,213,344,473 is 33936293160.
Find LCM of 315,802,213,344,473 with Prime Factorization
| 2 | 315, 802, 213, 344, 473 |
| 3 | 315, 401, 213, 172, 473 |
| 43 | 105, 401, 71, 172, 473 |
| 105, 401, 71, 4, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 105 x 401 x 71 x 4 x 11 = 33936293160
Therefore, the lowest common multiple of 315,802,213,344,473 is 33936293160.
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.
315 x 802 x 213 x 344 x 473 = 8755563635280
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
802 : 1, 2, 401, 802
213 : 1, 3, 71, 213
344 : 1, 2, 4, 8, 43, 86, 172, 344
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,802,213,344,473, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
802:2x 401
213:3x 71
344:2x 2x 2x 43
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 43 = 258
Therefore, the value for common factors is 258.
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 = 8755563635280/(1x258)
LCM = 8755563635280/258
LCM = 33936293160
Thus, we can understand that the LCM of 315,802,213,344,473 is 33936293160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 802, 213, 344, 473
1. What is the LCM of 315, 802, 213, 344, 473?
Answer: LCM of 315, 802, 213, 344, 473 is 33936293160.
2. How to calculate the LCM of 315, 802, 213, 344, 473?
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 315, 802, 213, 344, 473.
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}.