LCM of 987, 428, 428, 588, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 428, 428, 588, 795 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, 428, 428, 588, 795. So, keep reading to learn more.
Given numbers are 987,428,428,588,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,428,428,588,795 is 783618780.
Find LCM of 987,428,428,588,795 with Prime Factorization
| 2 | 987, 428, 428, 588, 795 |
| 2 | 987, 214, 214, 294, 795 |
| 3 | 987, 107, 107, 147, 795 |
| 7 | 329, 107, 107, 49, 265 |
| 107 | 47, 107, 107, 7, 265 |
| 47, 1, 1, 7, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 107 x 47 x 1 x 1 x 7 x 265 = 783618780
Therefore, the lowest common multiple of 987,428,428,588,795 is 783618780.
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 428 x 428 x 588 x 795 = 84517987135680
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
428 : 1, 2, 4, 107, 214, 428
428 : 1, 2, 4, 107, 214, 428
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,428,428,588,795, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
428:2x 2x 107
428:2x 2x 107
588:2x 2x 3x 7x 7
795:3x 5x 53
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 2x 3x 3x 7x 107 = 107856
Therefore, the value for common factors is 107856.
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 = 84517987135680/(1x107856)
LCM = 84517987135680/107856
LCM = 783618780
Thus, we can understand that the LCM of 987,428,428,588,795 is 783618780.
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FAQs on LCM of 987, 428, 428, 588, 795
1. What is the LCM of 987, 428, 428, 588, 795?
Answer: LCM of 987, 428, 428, 588, 795 is 783618780.
2. How to calculate the LCM of 987, 428, 428, 588, 795?
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, 428, 428, 588, 795.
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}.