LCM of 472, 398, 416, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 398, 416, 738 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 472, 398, 416, 738. So, keep reading to learn more.
Given numbers are 472,398,416,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,398,416,738 is 1802290464.
Find LCM of 472,398,416,738 with Prime Factorization
| 2 | 472, 398, 416, 738 |
| 2 | 236, 199, 208, 369 |
| 2 | 118, 199, 104, 369 |
| 59, 199, 52, 369 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 59 x 199 x 52 x 369 = 1802290464
Therefore, the lowest common multiple of 472,398,416,738 is 1802290464.
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.
472 x 398 x 416 x 738 = 57673294848
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
398 : 1, 2, 199, 398
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,398,416,738, is 2.
Now, the common factors can be found like this.
472:2x 2x 2x 59
398:2x 199
416:2x 2x 2x 2x 2x 13
738:2x 3x 3x 41
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 2 = 16
Therefore, the value for common factors is 16.
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 = 57673294848/(2x16)
LCM = 57673294848/32
LCM = 1802290464
Thus, we can understand that the LCM of 472,398,416,738 is 1802290464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 472, 398, 416, 738
1. What is the LCM of 472, 398, 416, 738?
Answer: LCM of 472, 398, 416, 738 is 1802290464.
2. How to calculate the LCM of 472, 398, 416, 738?
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 472, 398, 416, 738.
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}.