LCM of 785, 208, 684, 115, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 208, 684, 115, 184 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 785, 208, 684, 115, 184. So, keep reading to learn more.
Given numbers are 785,208,684,115,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,208,684,115,184 is 642180240.
Find LCM of 785,208,684,115,184 with Prime Factorization
| 2 | 785, 208, 684, 115, 184 |
| 2 | 785, 104, 342, 115, 92 |
| 2 | 785, 52, 171, 115, 46 |
| 5 | 785, 26, 171, 115, 23 |
| 23 | 157, 26, 171, 23, 23 |
| 157, 26, 171, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 157 x 26 x 171 x 1 x 1 = 642180240
Therefore, the lowest common multiple of 785,208,684,115,184 is 642180240.
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.
785 x 208 x 684 x 115 x 184 = 2363223283200
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.
785 : 1, 5, 157, 785
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
115 : 1, 5, 23, 115
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,208,684,115,184, is 1.
Now, the common factors can be found like this.
785:5x 157
208:2x 2x 2x 2x 13
684:2x 2x 3x 3x 19
115:5x 23
184:2x 2x 2x 23
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 2x 2x 5x 23 = 3680
Therefore, the value for common factors is 3680.
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 = 2363223283200/(1x3680)
LCM = 2363223283200/3680
LCM = 642180240
Thus, we can understand that the LCM of 785,208,684,115,184 is 642180240.
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FAQs on LCM of 785, 208, 684, 115, 184
1. What is the LCM of 785, 208, 684, 115, 184?
Answer: LCM of 785, 208, 684, 115, 184 is 642180240.
2. How to calculate the LCM of 785, 208, 684, 115, 184?
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 785, 208, 684, 115, 184.
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}.