LCM of 187, 384, 909, 533, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 384, 909, 533, 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 187, 384, 909, 533, 975. So, keep reading to learn more.
Given numbers are 187,384,909,533,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,384,909,533,975 is 289923004800.
Find LCM of 187,384,909,533,975 with Prime Factorization
| 3 | 187, 384, 909, 533, 975 |
| 13 | 187, 128, 303, 533, 325 |
| 187, 128, 303, 41, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 187 x 128 x 303 x 41 x 25 = 289923004800
Therefore, the lowest common multiple of 187,384,909,533,975 is 289923004800.
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.
187 x 384 x 909 x 533 x 975 = 33920991561600
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.
187 : 1, 11, 17, 187
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
909 : 1, 3, 9, 101, 303, 909
533 : 1, 13, 41, 533
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 187,384,909,533,975, is 1.
Now, the common factors can be found like this.
187:11x 17
384:2x 2x 2x 2x 2x 2x 2x 3
909:3x 3x 101
533:13x 41
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 13 = 117
Therefore, the value for common factors is 117.
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 = 33920991561600/(1x117)
LCM = 33920991561600/117
LCM = 289923004800
Thus, we can understand that the LCM of 187,384,909,533,975 is 289923004800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 384, 909, 533, 975
1. What is the LCM of 187, 384, 909, 533, 975?
Answer: LCM of 187, 384, 909, 533, 975 is 289923004800.
2. How to calculate the LCM of 187, 384, 909, 533, 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 187, 384, 909, 533, 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}.