Find the LCM of 752, 943, 491, 978, 566 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 752, 943, 491, 978, 566. So, keep reading to learn more.
Given numbers are 752,943,491,978,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,943,491,978,566 is 48184384983312.
Find LCM of 752,943,491,978,566 with Prime Factorization
2 | 752, 943, 491, 978, 566 |
376, 943, 491, 489, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 376 x 943 x 491 x 489 x 283 = 48184384983312
Therefore, the lowest common multiple of 752,943,491,978,566 is 48184384983312.
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.
752 x 943 x 491 x 978 x 566 = 192737539933248
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
943 : 1, 23, 41, 943
491 : 1, 491
978 : 1, 2, 3, 6, 163, 326, 489, 978
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,943,491,978,566, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
943:23x 41
491:491
978:2x 3x 163
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 192737539933248/(1x4)
LCM = 192737539933248/4
LCM = 48184384983312
Thus, we can understand that the LCM of 752,943,491,978,566 is 48184384983312.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 752, 943, 491, 978, 566?
Answer: LCM of 752, 943, 491, 978, 566 is 48184384983312.
2. How to calculate the LCM of 752, 943, 491, 978, 566?
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 752, 943, 491, 978, 566.
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}.