LCM of 979, 578, 854, 671, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 578, 854, 671, 445 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 979, 578, 854, 671, 445. So, keep reading to learn more.
Given numbers are 979,578,854,671,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,578,854,671,445 is 1208115370.
Find LCM of 979,578,854,671,445 with Prime Factorization
| 2 | 979, 578, 854, 671, 445 |
| 11 | 979, 289, 427, 671, 445 |
| 61 | 89, 289, 427, 61, 445 |
| 89 | 89, 289, 7, 1, 445 |
| 1, 289, 7, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 61 x 89 x 1 x 289 x 7 x 1 x 5 = 1208115370
Therefore, the lowest common multiple of 979,578,854,671,445 is 1208115370.
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.
979 x 578 x 854 x 671 x 445 = 144294883562060
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.
979 : 1, 11, 89, 979
578 : 1, 2, 17, 34, 289, 578
854 : 1, 2, 7, 14, 61, 122, 427, 854
671 : 1, 11, 61, 671
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,578,854,671,445, is 1.
Now, the common factors can be found like this.
979:11x 89
578:2x 17x 17
854:2x 7x 61
671:11x 61
445:5x 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 11x 61x 89 = 119438
Therefore, the value for common factors is 119438.
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 = 144294883562060/(1x119438)
LCM = 144294883562060/119438
LCM = 1208115370
Thus, we can understand that the LCM of 979,578,854,671,445 is 1208115370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 578, 854, 671, 445
1. What is the LCM of 979, 578, 854, 671, 445?
Answer: LCM of 979, 578, 854, 671, 445 is 1208115370.
2. How to calculate the LCM of 979, 578, 854, 671, 445?
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 979, 578, 854, 671, 445.
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}.