LCM of 987, 545, 799, 854, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 545, 799, 854, 352 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, 545, 799, 854, 352. So, keep reading to learn more.
Given numbers are 987,545,799,854,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,545,799,854,352 is 196351884960.
Find LCM of 987,545,799,854,352 with Prime Factorization
| 2 | 987, 545, 799, 854, 352 |
| 7 | 987, 545, 799, 427, 176 |
| 47 | 141, 545, 799, 61, 176 |
| 3, 545, 17, 61, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 47 x 3 x 545 x 17 x 61 x 176 = 196351884960
Therefore, the lowest common multiple of 987,545,799,854,352 is 196351884960.
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 545 x 799 x 854 x 352 = 129199540303680
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
545 : 1, 5, 109, 545
799 : 1, 17, 47, 799
854 : 1, 2, 7, 14, 61, 122, 427, 854
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,545,799,854,352, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
545:5x 109
799:17x 47
854:2x 7x 61
352:2x 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 7x 47 = 658
Therefore, the value for common factors is 658.
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 = 129199540303680/(1x658)
LCM = 129199540303680/658
LCM = 196351884960
Thus, we can understand that the LCM of 987,545,799,854,352 is 196351884960.
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FAQs on LCM of 987, 545, 799, 854, 352
1. What is the LCM of 987, 545, 799, 854, 352?
Answer: LCM of 987, 545, 799, 854, 352 is 196351884960.
2. How to calculate the LCM of 987, 545, 799, 854, 352?
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, 545, 799, 854, 352.
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}.