LCM of 816, 103, 312, 423, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 103, 312, 423, 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 816, 103, 312, 423, 987. So, keep reading to learn more.
Given numbers are 816,103,312,423,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,103,312,423,987 is 1078419888.
Find LCM of 816,103,312,423,987 with Prime Factorization
| 2 | 816, 103, 312, 423, 987 |
| 2 | 408, 103, 156, 423, 987 |
| 2 | 204, 103, 78, 423, 987 |
| 3 | 102, 103, 39, 423, 987 |
| 47 | 34, 103, 13, 141, 329 |
| 34, 103, 13, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 34 x 103 x 13 x 3 x 7 = 1078419888
Therefore, the lowest common multiple of 816,103,312,423,987 is 1078419888.
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.
816 x 103 x 312 x 423 x 987 = 10948118702976
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
103 : 1, 103
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
423 : 1, 3, 9, 47, 141, 423
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 816,103,312,423,987, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
103:103
312:2x 2x 2x 3x 13
423:3x 3x 47
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 47 = 10152
Therefore, the value for common factors is 10152.
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 = 10948118702976/(1x10152)
LCM = 10948118702976/10152
LCM = 1078419888
Thus, we can understand that the LCM of 816,103,312,423,987 is 1078419888.
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FAQs on LCM of 816, 103, 312, 423, 987
1. What is the LCM of 816, 103, 312, 423, 987?
Answer: LCM of 816, 103, 312, 423, 987 is 1078419888.
2. How to calculate the LCM of 816, 103, 312, 423, 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 816, 103, 312, 423, 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}.