LCM of 684, 148, 209, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 148, 209, 110 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, 148, 209, 110. So, keep reading to learn more.
Given numbers are 684,148,209,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,148,209,110 is 1391940.
Find LCM of 684,148,209,110 with Prime Factorization
| 2 | 684, 148, 209, 110 |
| 2 | 342, 74, 209, 55 |
| 11 | 171, 37, 209, 55 |
| 19 | 171, 37, 19, 5 |
| 9, 37, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 9 x 37 x 1 x 5 = 1391940
Therefore, the lowest common multiple of 684,148,209,110 is 1391940.
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 148 x 209 x 110 = 2327323680
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
148 : 1, 2, 4, 37, 74, 148
209 : 1, 11, 19, 209
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,148,209,110, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
148:2x 2x 37
209:11x 19
110:2x 5x 11
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 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 2327323680/(1x1672)
LCM = 2327323680/1672
LCM = 1391940
Thus, we can understand that the LCM of 684,148,209,110 is 1391940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 148, 209, 110
1. What is the LCM of 684, 148, 209, 110?
Answer: LCM of 684, 148, 209, 110 is 1391940.
2. How to calculate the LCM of 684, 148, 209, 110?
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, 148, 209, 110.
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}.