LCM of 684, 372, 321, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 372, 321, 930 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 684, 372, 321, 930. So, keep reading to learn more.
Given numbers are 684,372,321,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,372,321,930 is 11344140.
Find LCM of 684,372,321,930 with Prime Factorization
| 2 | 684, 372, 321, 930 |
| 2 | 342, 186, 321, 465 |
| 3 | 171, 93, 321, 465 |
| 31 | 57, 31, 107, 155 |
| 57, 1, 107, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 57 x 1 x 107 x 5 = 11344140
Therefore, the lowest common multiple of 684,372,321,930 is 11344140.
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.
684 x 372 x 321 x 930 = 75960361440
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
321 : 1, 3, 107, 321
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,372,321,930, is 3.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
372:2x 2x 3x 31
321:3x 107
930:2x 3x 5x 31
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 31 = 2232
Therefore, the value for common factors is 2232.
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 = 75960361440/(3x2232)
LCM = 75960361440/6696
LCM = 11344140
Thus, we can understand that the LCM of 684,372,321,930 is 11344140.
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FAQs on LCM of 684, 372, 321, 930
1. What is the LCM of 684, 372, 321, 930?
Answer: LCM of 684, 372, 321, 930 is 11344140.
2. How to calculate the LCM of 684, 372, 321, 930?
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 684, 372, 321, 930.
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}.