LCM of 746, 738, 396, 338, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 738, 396, 338, 474 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 746, 738, 396, 338, 474. So, keep reading to learn more.
Given numbers are 746,738,396,338,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,738,396,338,474 is 80854029828.
Find LCM of 746,738,396,338,474 with Prime Factorization
| 2 | 746, 738, 396, 338, 474 |
| 3 | 373, 369, 198, 169, 237 |
| 3 | 373, 123, 66, 169, 79 |
| 373, 41, 22, 169, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 373 x 41 x 22 x 169 x 79 = 80854029828
Therefore, the lowest common multiple of 746,738,396,338,474 is 80854029828.
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.
746 x 738 x 396 x 338 x 474 = 34928940885696
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.
746 : 1, 2, 373, 746
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
338 : 1, 2, 13, 26, 169, 338
474 : 1, 2, 3, 6, 79, 158, 237, 474
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,738,396,338,474, is 2.
Now, the common factors can be found like this.
746:2x 373
738:2x 3x 3x 41
396:2x 2x 3x 3x 11
338:2x 13x 13
474:2x 3x 79
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 34928940885696/(2x216)
LCM = 34928940885696/432
LCM = 80854029828
Thus, we can understand that the LCM of 746,738,396,338,474 is 80854029828.
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FAQs on LCM of 746, 738, 396, 338, 474
1. What is the LCM of 746, 738, 396, 338, 474?
Answer: LCM of 746, 738, 396, 338, 474 is 80854029828.
2. How to calculate the LCM of 746, 738, 396, 338, 474?
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 746, 738, 396, 338, 474.
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}.