LCM of 432, 701, 108, 456, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 701, 108, 456, 743 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 432, 701, 108, 456, 743. So, keep reading to learn more.
Given numbers are 432,701,108,456,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,701,108,456,743 is 4275079344.
Find LCM of 432,701,108,456,743 with Prime Factorization
| 2 | 432, 701, 108, 456, 743 |
| 2 | 216, 701, 54, 228, 743 |
| 2 | 108, 701, 27, 114, 743 |
| 3 | 54, 701, 27, 57, 743 |
| 3 | 18, 701, 9, 19, 743 |
| 3 | 6, 701, 3, 19, 743 |
| 2, 701, 1, 19, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 2 x 701 x 1 x 19 x 743 = 4275079344
Therefore, the lowest common multiple of 432,701,108,456,743 is 4275079344.
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.
432 x 701 x 108 x 456 x 743 = 11081005659648
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
701 : 1, 701
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,701,108,456,743, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
701:701
108:2x 2x 3x 3x 3
456:2x 2x 2x 3x 19
743:743
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 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 11081005659648/(1x2592)
LCM = 11081005659648/2592
LCM = 4275079344
Thus, we can understand that the LCM of 432,701,108,456,743 is 4275079344.
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FAQs on LCM of 432, 701, 108, 456, 743
1. What is the LCM of 432, 701, 108, 456, 743?
Answer: LCM of 432, 701, 108, 456, 743 is 4275079344.
2. How to calculate the LCM of 432, 701, 108, 456, 743?
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 432, 701, 108, 456, 743.
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}.