LCM of 786, 812, 612, 987, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 812, 612, 987, 746 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 786, 812, 612, 987, 746. So, keep reading to learn more.
Given numbers are 786,812,612,987,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,812,612,987,746 is 285315552396.
Find LCM of 786,812,612,987,746 with Prime Factorization
| 2 | 786, 812, 612, 987, 746 |
| 2 | 393, 406, 306, 987, 373 |
| 3 | 393, 203, 153, 987, 373 |
| 7 | 131, 203, 51, 329, 373 |
| 131, 29, 51, 47, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 131 x 29 x 51 x 47 x 373 = 285315552396
Therefore, the lowest common multiple of 786,812,612,987,746 is 285315552396.
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.
786 x 812 x 612 x 987 x 746 = 287598076815168
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
987 : 1, 3, 7, 21, 47, 141, 329, 987
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,812,612,987,746, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
812:2x 2x 7x 29
612:2x 2x 3x 3x 17
987:3x 7x 47
746:2x 373
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 7 = 1008
Therefore, the value for common factors is 1008.
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 = 287598076815168/(1x1008)
LCM = 287598076815168/1008
LCM = 285315552396
Thus, we can understand that the LCM of 786,812,612,987,746 is 285315552396.
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FAQs on LCM of 786, 812, 612, 987, 746
1. What is the LCM of 786, 812, 612, 987, 746?
Answer: LCM of 786, 812, 612, 987, 746 is 285315552396.
2. How to calculate the LCM of 786, 812, 612, 987, 746?
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 786, 812, 612, 987, 746.
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}.