LCM of 187, 756, 255, 130, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 756, 255, 130, 420 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, 756, 255, 130, 420. So, keep reading to learn more.
Given numbers are 187,756,255,130,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,756,255,130,420 is 9189180.
Find LCM of 187,756,255,130,420 with Prime Factorization
| 2 | 187, 756, 255, 130, 420 |
| 2 | 187, 378, 255, 65, 210 |
| 3 | 187, 189, 255, 65, 105 |
| 5 | 187, 63, 85, 65, 35 |
| 7 | 187, 63, 17, 13, 7 |
| 17 | 187, 9, 17, 13, 1 |
| 11, 9, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 17 x 11 x 9 x 1 x 13 x 1 = 9189180
Therefore, the lowest common multiple of 187,756,255,130,420 is 9189180.
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 756 x 255 x 130 x 420 = 1968322356000
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
255 : 1, 3, 5, 15, 17, 51, 85, 255
130 : 1, 2, 5, 10, 13, 26, 65, 130
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,756,255,130,420, is 1.
Now, the common factors can be found like this.
187:11x 17
756:2x 2x 3x 3x 3x 7
255:3x 5x 17
130:2x 5x 13
420:2x 2x 3x 5x 7
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 3x 5x 5x 7x 17 = 214200
Therefore, the value for common factors is 214200.
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 = 1968322356000/(1x214200)
LCM = 1968322356000/214200
LCM = 9189180
Thus, we can understand that the LCM of 187,756,255,130,420 is 9189180.
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FAQs on LCM of 187, 756, 255, 130, 420
1. What is the LCM of 187, 756, 255, 130, 420?
Answer: LCM of 187, 756, 255, 130, 420 is 9189180.
2. How to calculate the LCM of 187, 756, 255, 130, 420?
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, 756, 255, 130, 420.
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}.