LCM of 554, 117, 469, 966, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 117, 469, 966, 741 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 554, 117, 469, 966, 741. So, keep reading to learn more.
Given numbers are 554,117,469,966,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,117,469,966,741 is 13284643554.
Find LCM of 554,117,469,966,741 with Prime Factorization
| 2 | 554, 117, 469, 966, 741 |
| 3 | 277, 117, 469, 483, 741 |
| 7 | 277, 39, 469, 161, 247 |
| 13 | 277, 39, 67, 23, 247 |
| 277, 3, 67, 23, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 277 x 3 x 67 x 23 x 19 = 13284643554
Therefore, the lowest common multiple of 554,117,469,966,741 is 13284643554.
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.
554 x 117 x 469 x 966 x 741 = 21760246141452
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.
554 : 1, 2, 277, 554
117 : 1, 3, 9, 13, 39, 117
469 : 1, 7, 67, 469
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,117,469,966,741, is 1.
Now, the common factors can be found like this.
554:2x 277
117:3x 3x 13
469:7x 67
966:2x 3x 7x 23
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 13 = 1638
Therefore, the value for common factors is 1638.
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 = 21760246141452/(1x1638)
LCM = 21760246141452/1638
LCM = 13284643554
Thus, we can understand that the LCM of 554,117,469,966,741 is 13284643554.
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FAQs on LCM of 554, 117, 469, 966, 741
1. What is the LCM of 554, 117, 469, 966, 741?
Answer: LCM of 554, 117, 469, 966, 741 is 13284643554.
2. How to calculate the LCM of 554, 117, 469, 966, 741?
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 554, 117, 469, 966, 741.
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}.