LCM of 868, 846, 972, 591, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 846, 972, 591, 987 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 868, 846, 972, 591, 987. So, keep reading to learn more.
Given numbers are 868,846,972,591,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,846,972,591,987 is 1952945316.
Find LCM of 868,846,972,591,987 with Prime Factorization
| 2 | 868, 846, 972, 591, 987 |
| 2 | 434, 423, 486, 591, 987 |
| 3 | 217, 423, 243, 591, 987 |
| 3 | 217, 141, 81, 197, 329 |
| 7 | 217, 47, 27, 197, 329 |
| 47 | 31, 47, 27, 197, 47 |
| 31, 1, 27, 197, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 47 x 31 x 1 x 27 x 197 x 1 = 1952945316
Therefore, the lowest common multiple of 868,846,972,591,987 is 1952945316.
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.
868 x 846 x 972 x 591 x 987 = 416352317808672
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
591 : 1, 3, 197, 591
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,846,972,591,987, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
846:2x 3x 3x 47
972:2x 2x 3x 3x 3x 3x 3
591:3x 197
987:3x 7x 47
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 3x 3x 7x 47 = 213192
Therefore, the value for common factors is 213192.
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 = 416352317808672/(1x213192)
LCM = 416352317808672/213192
LCM = 1952945316
Thus, we can understand that the LCM of 868,846,972,591,987 is 1952945316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 868, 846, 972, 591, 987
1. What is the LCM of 868, 846, 972, 591, 987?
Answer: LCM of 868, 846, 972, 591, 987 is 1952945316.
2. How to calculate the LCM of 868, 846, 972, 591, 987?
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 868, 846, 972, 591, 987.
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}.