LCM of 722, 671, 121, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 671, 121, 549 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 722, 671, 121, 549. So, keep reading to learn more.
Given numbers are 722,671,121,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,671,121,549 is 47961738.
Find LCM of 722,671,121,549 with Prime Factorization
| 11 | 722, 671, 121, 549 |
| 61 | 722, 61, 11, 549 |
| 722, 1, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
11 x 61 x 722 x 1 x 11 x 9 = 47961738
Therefore, the lowest common multiple of 722,671,121,549 is 47961738.
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.
722 x 671 x 121 x 549 = 32182326198
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.
722 : 1, 2, 19, 38, 361, 722
671 : 1, 11, 61, 671
121 : 1, 11, 121
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,671,121,549, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
671:11x 61
121:11x 11
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 61 = 671
Therefore, the value for common factors is 671.
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 = 32182326198/(1x671)
LCM = 32182326198/671
LCM = 47961738
Thus, we can understand that the LCM of 722,671,121,549 is 47961738.
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FAQs on LCM of 722, 671, 121, 549
1. What is the LCM of 722, 671, 121, 549?
Answer: LCM of 722, 671, 121, 549 is 47961738.
2. How to calculate the LCM of 722, 671, 121, 549?
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 722, 671, 121, 549.
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}.