Find the LCM of 739, 943, 822, 289, 493 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 739, 943, 822, 289, 493. So, keep reading to learn more.
Given numbers are 739,943,822,289,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,943,822,289,493 is 4800912484614.
Find LCM of 739,943,822,289,493 with Prime Factorization
17 | 739, 943, 822, 289, 493 |
739, 943, 822, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
17 x 739 x 943 x 822 x 17 x 29 = 4800912484614
Therefore, the lowest common multiple of 739,943,822,289,493 is 4800912484614.
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.
739 x 943 x 822 x 289 x 493 = 81615512238438
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.
739 : 1, 739
943 : 1, 23, 41, 943
822 : 1, 2, 3, 6, 137, 274, 411, 822
289 : 1, 17, 289
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,943,822,289,493, is 1.
Now, the common factors can be found like this.
739:739
943:23x 41
822:2x 3x 137
289:17x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 81615512238438/(1x17)
LCM = 81615512238438/17
LCM = 4800912484614
Thus, we can understand that the LCM of 739,943,822,289,493 is 4800912484614.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 943, 822, 289, 493?
Answer: LCM of 739, 943, 822, 289, 493 is 4800912484614.
2. How to calculate the LCM of 739, 943, 822, 289, 493?
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 739, 943, 822, 289, 493.
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}.