LCM of 987, 816, 512, 749, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 816, 512, 749, 316 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, 816, 512, 749, 316. So, keep reading to learn more.
Given numbers are 987,816,512,749,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,816,512,749,316 is 72618438144.
Find LCM of 987,816,512,749,316 with Prime Factorization
| 2 | 987, 816, 512, 749, 316 |
| 2 | 987, 408, 256, 749, 158 |
| 2 | 987, 204, 128, 749, 79 |
| 2 | 987, 102, 64, 749, 79 |
| 3 | 987, 51, 32, 749, 79 |
| 7 | 329, 17, 32, 749, 79 |
| 47, 17, 32, 107, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 47 x 17 x 32 x 107 x 79 = 72618438144
Therefore, the lowest common multiple of 987,816,512,749,316 is 72618438144.
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 816 x 512 x 749 x 316 = 97599180865536
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
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
749 : 1, 7, 107, 749
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,816,512,749,316, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
816:2x 2x 2x 2x 3x 17
512:2x 2x 2x 2x 2x 2x 2x 2x 2
749:7x 107
316:2x 2x 79
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 2x 2x 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 97599180865536/(1x1344)
LCM = 97599180865536/1344
LCM = 72618438144
Thus, we can understand that the LCM of 987,816,512,749,316 is 72618438144.
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FAQs on LCM of 987, 816, 512, 749, 316
1. What is the LCM of 987, 816, 512, 749, 316?
Answer: LCM of 987, 816, 512, 749, 316 is 72618438144.
2. How to calculate the LCM of 987, 816, 512, 749, 316?
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, 816, 512, 749, 316.
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}.