LCM of 412, 748, 432, 672, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 748, 432, 672, 476 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 412, 748, 432, 672, 476. So, keep reading to learn more.
Given numbers are 412,748,432,672,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,748,432,672,476 is 116490528.
Find LCM of 412,748,432,672,476 with Prime Factorization
| 2 | 412, 748, 432, 672, 476 |
| 2 | 206, 374, 216, 336, 238 |
| 2 | 103, 187, 108, 168, 119 |
| 2 | 103, 187, 54, 84, 119 |
| 3 | 103, 187, 27, 42, 119 |
| 7 | 103, 187, 9, 14, 119 |
| 17 | 103, 187, 9, 2, 17 |
| 103, 11, 9, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 17 x 103 x 11 x 9 x 2 x 1 = 116490528
Therefore, the lowest common multiple of 412,748,432,672,476 is 116490528.
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.
412 x 748 x 432 x 672 x 476 = 42585209339904
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.
412 : 1, 2, 4, 103, 206, 412
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,748,432,672,476, is 4.
Now, the common factors can be found like this.
412:2x 2x 103
748:2x 2x 11x 17
432:2x 2x 2x 2x 3x 3x 3
672:2x 2x 2x 2x 2x 3x 7
476:2x 2x 7x 17
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 2x 2x 2x 2x 2x 3x 7x 17 = 91392
Therefore, the value for common factors is 91392.
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 = 42585209339904/(4x91392)
LCM = 42585209339904/365568
LCM = 116490528
Thus, we can understand that the LCM of 412,748,432,672,476 is 116490528.
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FAQs on LCM of 412, 748, 432, 672, 476
1. What is the LCM of 412, 748, 432, 672, 476?
Answer: LCM of 412, 748, 432, 672, 476 is 116490528.
2. How to calculate the LCM of 412, 748, 432, 672, 476?
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 412, 748, 432, 672, 476.
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}.