LCM of 351, 303, 923, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 303, 923, 802 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 351, 303, 923, 802. So, keep reading to learn more.
Given numbers are 351,303,923,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,303,923,802 is 2018650842.
Find LCM of 351,303,923,802 with Prime Factorization
| 3 | 351, 303, 923, 802 |
| 13 | 117, 101, 923, 802 |
| 9, 101, 71, 802 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 9 x 101 x 71 x 802 = 2018650842
Therefore, the lowest common multiple of 351,303,923,802 is 2018650842.
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.
351 x 303 x 923 x 802 = 78727382838
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
303 : 1, 3, 101, 303
923 : 1, 13, 71, 923
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,303,923,802, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
303:3x 101
923:13x 71
802:2x 401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 78727382838/(1x39)
LCM = 78727382838/39
LCM = 2018650842
Thus, we can understand that the LCM of 351,303,923,802 is 2018650842.
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FAQs on LCM of 351, 303, 923, 802
1. What is the LCM of 351, 303, 923, 802?
Answer: LCM of 351, 303, 923, 802 is 2018650842.
2. How to calculate the LCM of 351, 303, 923, 802?
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 351, 303, 923, 802.
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}.