LCM of 987, 724, 858, 195, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 724, 858, 195, 270 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 987, 724, 858, 195, 270. So, keep reading to learn more.
Given numbers are 987,724,858,195,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,724,858,195,270 is 4598373780.
Find LCM of 987,724,858,195,270 with Prime Factorization
| 2 | 987, 724, 858, 195, 270 |
| 3 | 987, 362, 429, 195, 135 |
| 5 | 329, 362, 143, 65, 45 |
| 13 | 329, 362, 143, 13, 9 |
| 329, 362, 11, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 329 x 362 x 11 x 1 x 9 = 4598373780
Therefore, the lowest common multiple of 987,724,858,195,270 is 4598373780.
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.
987 x 724 x 858 x 195 x 270 = 32280583935600
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
724 : 1, 2, 4, 181, 362, 724
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
195 : 1, 3, 5, 13, 15, 39, 65, 195
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,724,858,195,270, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
724:2x 2x 181
858:2x 3x 11x 13
195:3x 5x 13
270:2x 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 5x 13 = 7020
Therefore, the value for common factors is 7020.
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 = 32280583935600/(1x7020)
LCM = 32280583935600/7020
LCM = 4598373780
Thus, we can understand that the LCM of 987,724,858,195,270 is 4598373780.
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FAQs on LCM of 987, 724, 858, 195, 270
1. What is the LCM of 987, 724, 858, 195, 270?
Answer: LCM of 987, 724, 858, 195, 270 is 4598373780.
2. How to calculate the LCM of 987, 724, 858, 195, 270?
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 987, 724, 858, 195, 270.
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}.