LCM of 661, 374, 264, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 374, 264, 876 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 661, 374, 264, 876. So, keep reading to learn more.
Given numbers are 661,374,264,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,374,264,876 is 216559464.
Find LCM of 661,374,264,876 with Prime Factorization
| 2 | 661, 374, 264, 876 |
| 2 | 661, 187, 132, 438 |
| 3 | 661, 187, 66, 219 |
| 11 | 661, 187, 22, 73 |
| 661, 17, 2, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 661 x 17 x 2 x 73 = 216559464
Therefore, the lowest common multiple of 661,374,264,876 is 216559464.
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.
661 x 374 x 264 x 876 = 57171698496
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.
661 : 1, 661
374 : 1, 2, 11, 17, 22, 34, 187, 374
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,374,264,876, is 1.
Now, the common factors can be found like this.
661:661
374:2x 11x 17
264:2x 2x 2x 3x 11
876:2x 2x 3x 73
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 57171698496/(1x264)
LCM = 57171698496/264
LCM = 216559464
Thus, we can understand that the LCM of 661,374,264,876 is 216559464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 661, 374, 264, 876
1. What is the LCM of 661, 374, 264, 876?
Answer: LCM of 661, 374, 264, 876 is 216559464.
2. How to calculate the LCM of 661, 374, 264, 876?
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 661, 374, 264, 876.
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}.