LCM of 357, 684, 322, 930, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 684, 322, 930, 935 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 357, 684, 322, 930, 935. So, keep reading to learn more.
Given numbers are 357,684,322,930,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,684,322,930,935 is 3191944140.
Find LCM of 357,684,322,930,935 with Prime Factorization
| 2 | 357, 684, 322, 930, 935 |
| 3 | 357, 342, 161, 465, 935 |
| 5 | 119, 114, 161, 155, 935 |
| 7 | 119, 114, 161, 31, 187 |
| 17 | 17, 114, 23, 31, 187 |
| 1, 114, 23, 31, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 1 x 114 x 23 x 31 x 11 = 3191944140
Therefore, the lowest common multiple of 357,684,322,930,935 is 3191944140.
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.
357 x 684 x 322 x 930 x 935 = 68371443478800
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
322 : 1, 2, 7, 14, 23, 46, 161, 322
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,684,322,930,935, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
684:2x 2x 3x 3x 19
322:2x 7x 23
930:2x 3x 5x 31
935:5x 11x 17
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 3x 3x 5x 7x 17 = 21420
Therefore, the value for common factors is 21420.
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 = 68371443478800/(1x21420)
LCM = 68371443478800/21420
LCM = 3191944140
Thus, we can understand that the LCM of 357,684,322,930,935 is 3191944140.
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FAQs on LCM of 357, 684, 322, 930, 935
1. What is the LCM of 357, 684, 322, 930, 935?
Answer: LCM of 357, 684, 322, 930, 935 is 3191944140.
2. How to calculate the LCM of 357, 684, 322, 930, 935?
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 357, 684, 322, 930, 935.
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}.