LCM of 987, 913, 972, 282, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 913, 972, 282, 704 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, 913, 972, 282, 704. So, keep reading to learn more.
Given numbers are 987,913,972,282,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,913,972,282,704 is 4671463104.
Find LCM of 987,913,972,282,704 with Prime Factorization
| 2 | 987, 913, 972, 282, 704 |
| 2 | 987, 913, 486, 141, 352 |
| 3 | 987, 913, 243, 141, 176 |
| 11 | 329, 913, 81, 47, 176 |
| 47 | 329, 83, 81, 47, 16 |
| 7, 83, 81, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 47 x 7 x 83 x 81 x 1 x 16 = 4671463104
Therefore, the lowest common multiple of 987,913,972,282,704 is 4671463104.
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 913 x 972 x 282 x 704 = 173890542583296
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
913 : 1, 11, 83, 913
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
282 : 1, 2, 3, 6, 47, 94, 141, 282
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,913,972,282,704, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
913:11x 83
972:2x 2x 3x 3x 3x 3x 3
282:2x 3x 47
704:2x 2x 2x 2x 2x 2x 11
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 11x 47 = 37224
Therefore, the value for common factors is 37224.
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 = 173890542583296/(1x37224)
LCM = 173890542583296/37224
LCM = 4671463104
Thus, we can understand that the LCM of 987,913,972,282,704 is 4671463104.
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FAQs on LCM of 987, 913, 972, 282, 704
1. What is the LCM of 987, 913, 972, 282, 704?
Answer: LCM of 987, 913, 972, 282, 704 is 4671463104.
2. How to calculate the LCM of 987, 913, 972, 282, 704?
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, 913, 972, 282, 704.
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}.