LCM of 935, 864, 978, 882, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 864, 978, 882, 502 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 935, 864, 978, 882, 502. So, keep reading to learn more.
Given numbers are 935,864,978,882,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,864,978,882,502 is 1619506738080.
Find LCM of 935,864,978,882,502 with Prime Factorization
| 2 | 935, 864, 978, 882, 502 |
| 3 | 935, 432, 489, 441, 251 |
| 3 | 935, 144, 163, 147, 251 |
| 935, 48, 163, 49, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 935 x 48 x 163 x 49 x 251 = 1619506738080
Therefore, the lowest common multiple of 935,864,978,882,502 is 1619506738080.
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.
935 x 864 x 978 x 882 x 502 = 349813455425280
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
978 : 1, 2, 3, 6, 163, 326, 489, 978
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,864,978,882,502, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
864:2x 2x 2x 2x 2x 3x 3x 3
978:2x 3x 163
882:2x 3x 3x 7x 7
502:2x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 349813455425280/(1x216)
LCM = 349813455425280/216
LCM = 1619506738080
Thus, we can understand that the LCM of 935,864,978,882,502 is 1619506738080.
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FAQs on LCM of 935, 864, 978, 882, 502
1. What is the LCM of 935, 864, 978, 882, 502?
Answer: LCM of 935, 864, 978, 882, 502 is 1619506738080.
2. How to calculate the LCM of 935, 864, 978, 882, 502?
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 935, 864, 978, 882, 502.
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}.