Find the LCM of 926, 712, 387, 473, 178 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 926, 712, 387, 473, 178. So, keep reading to learn more.
Given numbers are 926,712,387,473,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,712,387,473,178 is 1403345592.
Find LCM of 926,712,387,473,178 with Prime Factorization
2 | 926, 712, 387, 473, 178 |
43 | 463, 356, 387, 473, 89 |
89 | 463, 356, 9, 11, 89 |
463, 4, 9, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 89 x 463 x 4 x 9 x 11 x 1 = 1403345592
Therefore, the lowest common multiple of 926,712,387,473,178 is 1403345592.
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.
926 x 712 x 387 x 473 x 178 = 21482414322336
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.
926 : 1, 2, 463, 926
712 : 1, 2, 4, 8, 89, 178, 356, 712
387 : 1, 3, 9, 43, 129, 387
473 : 1, 11, 43, 473
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,712,387,473,178, is 1.
Now, the common factors can be found like this.
926:2x 463
712:2x 2x 2x 89
387:3x 3x 43
473:11x 43
178:2x 89
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 43x 89 = 15308
Therefore, the value for common factors is 15308.
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 = 21482414322336/(1x15308)
LCM = 21482414322336/15308
LCM = 1403345592
Thus, we can understand that the LCM of 926,712,387,473,178 is 1403345592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 712, 387, 473, 178?
Answer: LCM of 926, 712, 387, 473, 178 is 1403345592.
2. How to calculate the LCM of 926, 712, 387, 473, 178?
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 926, 712, 387, 473, 178.
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}.