LCM of 876, 286, 314, 268, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 286, 314, 268, 611 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 876, 286, 314, 268, 611. So, keep reading to learn more.
Given numbers are 876,286,314,268,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,286,314,268,611 is 61931622324.
Find LCM of 876,286,314,268,611 with Prime Factorization
| 2 | 876, 286, 314, 268, 611 |
| 2 | 438, 143, 157, 134, 611 |
| 13 | 219, 143, 157, 67, 611 |
| 219, 11, 157, 67, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 219 x 11 x 157 x 67 x 47 = 61931622324
Therefore, the lowest common multiple of 876,286,314,268,611 is 61931622324.
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.
876 x 286 x 314 x 268 x 611 = 12881777443392
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
286 : 1, 2, 11, 13, 22, 26, 143, 286
314 : 1, 2, 157, 314
268 : 1, 2, 4, 67, 134, 268
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,286,314,268,611, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
286:2x 11x 13
314:2x 157
268:2x 2x 67
611:13x 47
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 13 = 208
Therefore, the value for common factors is 208.
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 = 12881777443392/(1x208)
LCM = 12881777443392/208
LCM = 61931622324
Thus, we can understand that the LCM of 876,286,314,268,611 is 61931622324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 876, 286, 314, 268, 611
1. What is the LCM of 876, 286, 314, 268, 611?
Answer: LCM of 876, 286, 314, 268, 611 is 61931622324.
2. How to calculate the LCM of 876, 286, 314, 268, 611?
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 876, 286, 314, 268, 611.
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}.