LCM of 741, 424, 871, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 424, 871, 402 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 741, 424, 871, 402. So, keep reading to learn more.
Given numbers are 741,424,871,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,424,871,402 is 21050328.
Find LCM of 741,424,871,402 with Prime Factorization
| 2 | 741, 424, 871, 402 |
| 3 | 741, 212, 871, 201 |
| 13 | 247, 212, 871, 67 |
| 67 | 19, 212, 67, 67 |
| 19, 212, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 67 x 19 x 212 x 1 x 1 = 21050328
Therefore, the lowest common multiple of 741,424,871,402 is 21050328.
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.
741 x 424 x 871 x 402 = 110009014128
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
424 : 1, 2, 4, 8, 53, 106, 212, 424
871 : 1, 13, 67, 871
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,424,871,402, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
424:2x 2x 2x 53
871:13x 67
402:2x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 67 = 5226
Therefore, the value for common factors is 5226.
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 = 110009014128/(1x5226)
LCM = 110009014128/5226
LCM = 21050328
Thus, we can understand that the LCM of 741,424,871,402 is 21050328.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 741, 424, 871, 402
1. What is the LCM of 741, 424, 871, 402?
Answer: LCM of 741, 424, 871, 402 is 21050328.
2. How to calculate the LCM of 741, 424, 871, 402?
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 741, 424, 871, 402.
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}.