LCM of 883, 139, 345, 555, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 883, 139, 345, 555, 975 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 883, 139, 345, 555, 975. So, keep reading to learn more.
Given numbers are 883,139,345,555,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,139,345,555,975 is 101837957325.
Find LCM of 883,139,345,555,975 with Prime Factorization
| 3 | 883, 139, 345, 555, 975 |
| 5 | 883, 139, 115, 185, 325 |
| 883, 139, 23, 37, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 883 x 139 x 23 x 37 x 65 = 101837957325
Therefore, the lowest common multiple of 883,139,345,555,975 is 101837957325.
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.
883 x 139 x 345 x 555 x 975 = 22913540398125
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.
883 : 1, 883
139 : 1, 139
345 : 1, 3, 5, 15, 23, 69, 115, 345
555 : 1, 3, 5, 15, 37, 111, 185, 555
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,139,345,555,975, is 1.
Now, the common factors can be found like this.
883:883
139:139
345:3x 5x 23
555:3x 5x 37
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 22913540398125/(1x225)
LCM = 22913540398125/225
LCM = 101837957325
Thus, we can understand that the LCM of 883,139,345,555,975 is 101837957325.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 883, 139, 345, 555, 975
1. What is the LCM of 883, 139, 345, 555, 975?
Answer: LCM of 883, 139, 345, 555, 975 is 101837957325.
2. How to calculate the LCM of 883, 139, 345, 555, 975?
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 883, 139, 345, 555, 975.
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}.