LCM of 443, 746, 786, 507, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 746, 786, 507, 812 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 443, 746, 786, 507, 812. So, keep reading to learn more.
Given numbers are 443,746,786,507,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,746,786,507,812 is 8911439074356.
Find LCM of 443,746,786,507,812 with Prime Factorization
| 2 | 443, 746, 786, 507, 812 |
| 3 | 443, 373, 393, 507, 406 |
| 443, 373, 131, 169, 406 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 443 x 373 x 131 x 169 x 406 = 8911439074356
Therefore, the lowest common multiple of 443,746,786,507,812 is 8911439074356.
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.
443 x 746 x 786 x 507 x 812 = 106937268892272
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.
443 : 1, 443
746 : 1, 2, 373, 746
786 : 1, 2, 3, 6, 131, 262, 393, 786
507 : 1, 3, 13, 39, 169, 507
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,746,786,507,812, is 1.
Now, the common factors can be found like this.
443:443
746:2x 373
786:2x 3x 131
507:3x 13x 13
812:2x 2x 7x 29
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 3 = 12
Therefore, the value for common factors is 12.
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 = 106937268892272/(1x12)
LCM = 106937268892272/12
LCM = 8911439074356
Thus, we can understand that the LCM of 443,746,786,507,812 is 8911439074356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 443, 746, 786, 507, 812
1. What is the LCM of 443, 746, 786, 507, 812?
Answer: LCM of 443, 746, 786, 507, 812 is 8911439074356.
2. How to calculate the LCM of 443, 746, 786, 507, 812?
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 443, 746, 786, 507, 812.
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}.