LCM of 870, 564, 987, 199, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 870, 564, 987, 199, 849 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 870, 564, 987, 199, 849. So, keep reading to learn more.
Given numbers are 870,564,987,199,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,564,987,199,849 is 32239229820.
Find LCM of 870,564,987,199,849 with Prime Factorization
| 2 | 870, 564, 987, 199, 849 |
| 3 | 435, 282, 987, 199, 849 |
| 47 | 145, 94, 329, 199, 283 |
| 145, 2, 7, 199, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 145 x 2 x 7 x 199 x 283 = 32239229820
Therefore, the lowest common multiple of 870,564,987,199,849 is 32239229820.
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.
870 x 564 x 987 x 199 x 849 = 81823165283160
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
987 : 1, 3, 7, 21, 47, 141, 329, 987
199 : 1, 199
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,564,987,199,849, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
564:2x 2x 3x 47
987:3x 7x 47
199:199
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 47 = 2538
Therefore, the value for common factors is 2538.
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 = 81823165283160/(1x2538)
LCM = 81823165283160/2538
LCM = 32239229820
Thus, we can understand that the LCM of 870,564,987,199,849 is 32239229820.
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FAQs on LCM of 870, 564, 987, 199, 849
1. What is the LCM of 870, 564, 987, 199, 849?
Answer: LCM of 870, 564, 987, 199, 849 is 32239229820.
2. How to calculate the LCM of 870, 564, 987, 199, 849?
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 870, 564, 987, 199, 849.
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}.