LCM of 684, 956, 652, 814, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 956, 652, 814, 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, 956, 652, 814, 110. So, keep reading to learn more.
Given numbers are 684,956,652,814,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,956,652,814,110 is 54225806580.
Find LCM of 684,956,652,814,110 with Prime Factorization
| 2 | 684, 956, 652, 814, 110 |
| 2 | 342, 478, 326, 407, 55 |
| 11 | 171, 239, 163, 407, 55 |
| 171, 239, 163, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 171 x 239 x 163 x 37 x 5 = 54225806580
Therefore, the lowest common multiple of 684,956,652,814,110 is 54225806580.
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 956 x 652 x 814 x 110 = 38174967832320
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
956 : 1, 2, 4, 239, 478, 956
652 : 1, 2, 4, 163, 326, 652
814 : 1, 2, 11, 22, 37, 74, 407, 814
110 : 1, 2, 5, 10, 11, 22, 55, 110
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,956,652,814,110, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
956:2x 2x 239
652:2x 2x 163
814:2x 11x 37
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 38174967832320/(2x352)
LCM = 38174967832320/704
LCM = 54225806580
Thus, we can understand that the LCM of 684,956,652,814,110 is 54225806580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 684, 956, 652, 814, 110
1. What is the LCM of 684, 956, 652, 814, 110?
Answer: LCM of 684, 956, 652, 814, 110 is 54225806580.
2. How to calculate the LCM of 684, 956, 652, 814, 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, 956, 652, 814, 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}.