LCM of 232, 814, 646, 870, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 814, 646, 870, 955 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 232, 814, 646, 870, 955. So, keep reading to learn more.
Given numbers are 232,814,646,870,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,814,646,870,955 is 87379497480.
Find LCM of 232,814,646,870,955 with Prime Factorization
| 2 | 232, 814, 646, 870, 955 |
| 5 | 116, 407, 323, 435, 955 |
| 29 | 116, 407, 323, 87, 191 |
| 4, 407, 323, 3, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 4 x 407 x 323 x 3 x 191 = 87379497480
Therefore, the lowest common multiple of 232,814,646,870,955 is 87379497480.
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.
232 x 814 x 646 x 870 x 955 = 101360217076800
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
814 : 1, 2, 11, 22, 37, 74, 407, 814
646 : 1, 2, 17, 19, 34, 38, 323, 646
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,814,646,870,955, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
814:2x 11x 37
646:2x 17x 19
870:2x 3x 5x 29
955:5x 191
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 5x 29 = 1160
Therefore, the value for common factors is 1160.
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 = 101360217076800/(1x1160)
LCM = 101360217076800/1160
LCM = 87379497480
Thus, we can understand that the LCM of 232,814,646,870,955 is 87379497480.
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FAQs on LCM of 232, 814, 646, 870, 955
1. What is the LCM of 232, 814, 646, 870, 955?
Answer: LCM of 232, 814, 646, 870, 955 is 87379497480.
2. How to calculate the LCM of 232, 814, 646, 870, 955?
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 232, 814, 646, 870, 955.
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}.