LCM of 766, 477, 232, 116, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 477, 232, 116, 870 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 766, 477, 232, 116, 870. So, keep reading to learn more.
Given numbers are 766,477,232,116,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,477,232,116,870 is 211921560.
Find LCM of 766,477,232,116,870 with Prime Factorization
| 2 | 766, 477, 232, 116, 870 |
| 2 | 383, 477, 116, 58, 435 |
| 3 | 383, 477, 29, 58, 435 |
| 29 | 383, 159, 29, 58, 145 |
| 383, 159, 1, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 383 x 159 x 1 x 2 x 5 = 211921560
Therefore, the lowest common multiple of 766,477,232,116,870 is 211921560.
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.
766 x 477 x 232 x 116 x 870 = 8554849534080
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.
766 : 1, 2, 383, 766
477 : 1, 3, 9, 53, 159, 477
232 : 1, 2, 4, 8, 29, 58, 116, 232
116 : 1, 2, 4, 29, 58, 116
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,477,232,116,870, is 1.
Now, the common factors can be found like this.
766:2x 383
477:3x 3x 53
232:2x 2x 2x 29
116:2x 2x 29
870:2x 3x 5x 29
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 3x 29x 29 = 40368
Therefore, the value for common factors is 40368.
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 = 8554849534080/(1x40368)
LCM = 8554849534080/40368
LCM = 211921560
Thus, we can understand that the LCM of 766,477,232,116,870 is 211921560.
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FAQs on LCM of 766, 477, 232, 116, 870
1. What is the LCM of 766, 477, 232, 116, 870?
Answer: LCM of 766, 477, 232, 116, 870 is 211921560.
2. How to calculate the LCM of 766, 477, 232, 116, 870?
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 766, 477, 232, 116, 870.
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}.