LCM of 880, 327, 661, 975, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 327, 661, 975, 877 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 880, 327, 661, 975, 877. So, keep reading to learn more.
Given numbers are 880,327,661,975,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,327,661,975,877 is 10842884566800.
Find LCM of 880,327,661,975,877 with Prime Factorization
| 3 | 880, 327, 661, 975, 877 |
| 5 | 880, 109, 661, 325, 877 |
| 176, 109, 661, 65, 877 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 176 x 109 x 661 x 65 x 877 = 10842884566800
Therefore, the lowest common multiple of 880,327,661,975,877 is 10842884566800.
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.
880 x 327 x 661 x 975 x 877 = 162643268502000
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
327 : 1, 3, 109, 327
661 : 1, 661
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,327,661,975,877, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
327:3x 109
661:661
975:3x 5x 5x 13
877:877
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 162643268502000/(1x15)
LCM = 162643268502000/15
LCM = 10842884566800
Thus, we can understand that the LCM of 880,327,661,975,877 is 10842884566800.
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FAQs on LCM of 880, 327, 661, 975, 877
1. What is the LCM of 880, 327, 661, 975, 877?
Answer: LCM of 880, 327, 661, 975, 877 is 10842884566800.
2. How to calculate the LCM of 880, 327, 661, 975, 877?
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 880, 327, 661, 975, 877.
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}.