LCM of 367, 439, 781, 143, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 439, 781, 143, 979 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 367, 439, 781, 143, 979. So, keep reading to learn more.
Given numbers are 367,439,781,143,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,439,781,143,979 is 145584445721.
Find LCM of 367,439,781,143,979 with Prime Factorization
| 11 | 367, 439, 781, 143, 979 |
| 367, 439, 71, 13, 89 |
Multiply the prime numbers at the bottom and the left side.
11 x 367 x 439 x 71 x 13 x 89 = 145584445721
Therefore, the lowest common multiple of 367,439,781,143,979 is 145584445721.
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.
367 x 439 x 781 x 143 x 979 = 17615717932241
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.
367 : 1, 367
439 : 1, 439
781 : 1, 11, 71, 781
143 : 1, 11, 13, 143
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,439,781,143,979, is 1.
Now, the common factors can be found like this.
367:367
439:439
781:11x 71
143:11x 13
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 17615717932241/(1x121)
LCM = 17615717932241/121
LCM = 145584445721
Thus, we can understand that the LCM of 367,439,781,143,979 is 145584445721.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 367, 439, 781, 143, 979
1. What is the LCM of 367, 439, 781, 143, 979?
Answer: LCM of 367, 439, 781, 143, 979 is 145584445721.
2. How to calculate the LCM of 367, 439, 781, 143, 979?
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 367, 439, 781, 143, 979.
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}.