LCM of 396, 969, 817, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 969, 817, 688 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 396, 969, 817, 688. So, keep reading to learn more.
Given numbers are 396,969,817,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,969,817,688 is 22000176.
Find LCM of 396,969,817,688 with Prime Factorization
| 2 | 396, 969, 817, 688 |
| 2 | 198, 969, 817, 344 |
| 3 | 99, 969, 817, 172 |
| 19 | 33, 323, 817, 172 |
| 43 | 33, 17, 43, 172 |
| 33, 17, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 43 x 33 x 17 x 1 x 4 = 22000176
Therefore, the lowest common multiple of 396,969,817,688 is 22000176.
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.
396 x 969 x 817 x 688 = 215689725504
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
969 : 1, 3, 17, 19, 51, 57, 323, 969
817 : 1, 19, 43, 817
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,969,817,688, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
969:3x 17x 19
817:19x 43
688:2x 2x 2x 2x 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 2x 3x 19x 43 = 9804
Therefore, the value for common factors is 9804.
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 = 215689725504/(1x9804)
LCM = 215689725504/9804
LCM = 22000176
Thus, we can understand that the LCM of 396,969,817,688 is 22000176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 396, 969, 817, 688
1. What is the LCM of 396, 969, 817, 688?
Answer: LCM of 396, 969, 817, 688 is 22000176.
2. How to calculate the LCM of 396, 969, 817, 688?
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 396, 969, 817, 688.
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}.