Find the LCM of 534, 777, 878, 407, 473 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 534, 777, 878, 407, 473. So, keep reading to learn more.
Given numbers are 534,777,878,407,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,777,878,407,473 is 28718825982.
Find LCM of 534,777,878,407,473 with Prime Factorization
2 | 534, 777, 878, 407, 473 |
3 | 267, 777, 439, 407, 473 |
11 | 89, 259, 439, 407, 473 |
37 | 89, 259, 439, 37, 43 |
89, 7, 439, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 89 x 7 x 439 x 1 x 43 = 28718825982
Therefore, the lowest common multiple of 534,777,878,407,473 is 28718825982.
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.
534 x 777 x 878 x 407 x 473 = 70131373048044
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
777 : 1, 3, 7, 21, 37, 111, 259, 777
878 : 1, 2, 439, 878
407 : 1, 11, 37, 407
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,777,878,407,473, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
777:3x 7x 37
878:2x 439
407:11x 37
473:11x 43
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 11x 37 = 2442
Therefore, the value for common factors is 2442.
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 = 70131373048044/(1x2442)
LCM = 70131373048044/2442
LCM = 28718825982
Thus, we can understand that the LCM of 534,777,878,407,473 is 28718825982.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 534, 777, 878, 407, 473?
Answer: LCM of 534, 777, 878, 407, 473 is 28718825982.
2. How to calculate the LCM of 534, 777, 878, 407, 473?
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 534, 777, 878, 407, 473.
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}.