Find the LCM of 739, 478, 578, 419, 401 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, 478, 578, 419, 401. So, keep reading to learn more.
Given numbers are 739,478,578,419,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,478,578,419,401 is 17152545235822.
Find LCM of 739,478,578,419,401 with Prime Factorization
2 | 739, 478, 578, 419, 401 |
739, 239, 289, 419, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 739 x 239 x 289 x 419 x 401 = 17152545235822
Therefore, the lowest common multiple of 739,478,578,419,401 is 17152545235822.
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 478 x 578 x 419 x 401 = 34305090471644
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
478 : 1, 2, 239, 478
578 : 1, 2, 17, 34, 289, 578
419 : 1, 419
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,478,578,419,401, is 1.
Now, the common factors can be found like this.
739:739
478:2x 239
578:2x 17x 17
419:419
401:401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 34305090471644/(1x2)
LCM = 34305090471644/2
LCM = 17152545235822
Thus, we can understand that the LCM of 739,478,578,419,401 is 17152545235822.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 478, 578, 419, 401?
Answer: LCM of 739, 478, 578, 419, 401 is 17152545235822.
2. How to calculate the LCM of 739, 478, 578, 419, 401?
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, 478, 578, 419, 401.
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}.