LCM of 222, 880, 734, 561, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 880, 734, 561, 949 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 222, 880, 734, 561, 949. So, keep reading to learn more.
Given numbers are 222,880,734,561,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,880,734,561,949 is 578344818480.
Find LCM of 222,880,734,561,949 with Prime Factorization
| 2 | 222, 880, 734, 561, 949 |
| 3 | 111, 440, 367, 561, 949 |
| 11 | 37, 440, 367, 187, 949 |
| 37, 40, 367, 17, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 40 x 367 x 17 x 949 = 578344818480
Therefore, the lowest common multiple of 222,880,734,561,949 is 578344818480.
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.
222 x 880 x 734 x 561 x 949 = 76341516039360
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
734 : 1, 2, 367, 734
561 : 1, 3, 11, 17, 33, 51, 187, 561
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,880,734,561,949, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
880:2x 2x 2x 2x 5x 11
734:2x 367
561:3x 11x 17
949:13x 73
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 76341516039360/(1x132)
LCM = 76341516039360/132
LCM = 578344818480
Thus, we can understand that the LCM of 222,880,734,561,949 is 578344818480.
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FAQs on LCM of 222, 880, 734, 561, 949
1. What is the LCM of 222, 880, 734, 561, 949?
Answer: LCM of 222, 880, 734, 561, 949 is 578344818480.
2. How to calculate the LCM of 222, 880, 734, 561, 949?
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 222, 880, 734, 561, 949.
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}.