LCM of 186, 360, 843, 490, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 186, 360, 843, 490, 135 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 186, 360, 843, 490, 135. So, keep reading to learn more.
Given numbers are 186,360,843,490,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,360,843,490,135 is 460986120.
Find LCM of 186,360,843,490,135 with Prime Factorization
| 2 | 186, 360, 843, 490, 135 |
| 3 | 93, 180, 843, 245, 135 |
| 3 | 31, 60, 281, 245, 45 |
| 5 | 31, 20, 281, 245, 15 |
| 31, 4, 281, 49, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 31 x 4 x 281 x 49 x 3 = 460986120
Therefore, the lowest common multiple of 186,360,843,490,135 is 460986120.
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.
186 x 360 x 843 x 490 x 135 = 3733987572000
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
843 : 1, 3, 281, 843
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,360,843,490,135, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
360:2x 2x 2x 3x 3x 5
843:3x 281
490:2x 5x 7x 7
135:3x 3x 3x 5
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 3x 3x 3x 3x 5x 5 = 8100
Therefore, the value for common factors is 8100.
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 = 3733987572000/(1x8100)
LCM = 3733987572000/8100
LCM = 460986120
Thus, we can understand that the LCM of 186,360,843,490,135 is 460986120.
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FAQs on LCM of 186, 360, 843, 490, 135
1. What is the LCM of 186, 360, 843, 490, 135?
Answer: LCM of 186, 360, 843, 490, 135 is 460986120.
2. How to calculate the LCM of 186, 360, 843, 490, 135?
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 186, 360, 843, 490, 135.
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}.