LCM of 747, 934, 822, 930, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 934, 822, 930, 212 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 747, 934, 822, 930, 212. So, keep reading to learn more.
Given numbers are 747,934,822,930,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,934,822,930,212 is 1570455405180.
Find LCM of 747,934,822,930,212 with Prime Factorization
| 2 | 747, 934, 822, 930, 212 |
| 3 | 747, 467, 411, 465, 106 |
| 249, 467, 137, 155, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 249 x 467 x 137 x 155 x 106 = 1570455405180
Therefore, the lowest common multiple of 747,934,822,930,212 is 1570455405180.
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.
747 x 934 x 822 x 930 x 212 = 113072789172960
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.
747 : 1, 3, 9, 83, 249, 747
934 : 1, 2, 467, 934
822 : 1, 2, 3, 6, 137, 274, 411, 822
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,934,822,930,212, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
934:2x 467
822:2x 3x 137
930:2x 3x 5x 31
212:2x 2x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 113072789172960/(1x72)
LCM = 113072789172960/72
LCM = 1570455405180
Thus, we can understand that the LCM of 747,934,822,930,212 is 1570455405180.
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FAQs on LCM of 747, 934, 822, 930, 212
1. What is the LCM of 747, 934, 822, 930, 212?
Answer: LCM of 747, 934, 822, 930, 212 is 1570455405180.
2. How to calculate the LCM of 747, 934, 822, 930, 212?
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 747, 934, 822, 930, 212.
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}.