LCM of 47, 32, 56, 31, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 47, 32, 56, 31, 672 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 47, 32, 56, 31, 672. So, keep reading to learn more.
Given numbers are 47,32,56,31,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 47,32,56,31,672 is 979104.
Find LCM of 47,32,56,31,672 with Prime Factorization
| 2 | 47, 32, 56, 31, 672 |
| 2 | 47, 16, 28, 31, 336 |
| 2 | 47, 8, 14, 31, 168 |
| 2 | 47, 4, 7, 31, 84 |
| 2 | 47, 2, 7, 31, 42 |
| 7 | 47, 1, 7, 31, 21 |
| 47, 1, 1, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 47 x 1 x 1 x 31 x 3 = 979104
Therefore, the lowest common multiple of 47,32,56,31,672 is 979104.
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.
47 x 32 x 56 x 31 x 672 = 1754554368
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.
47 : 1, 47
32 : 1, 2, 4, 8, 16, 32
56 : 1, 2, 4, 7, 8, 14, 28, 56
31 : 1, 31
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 47,32,56,31,672, is 1.
Now, the common factors can be found like this.
47:47
32:2x 2x 2x 2x 2
56:2x 2x 2x 7
31:31
672:2x 2x 2x 2x 2x 3x 7
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 7 = 1792
Therefore, the value for common factors is 1792.
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 = 1754554368/(1x1792)
LCM = 1754554368/1792
LCM = 979104
Thus, we can understand that the LCM of 47,32,56,31,672 is 979104.
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FAQs on LCM of 47, 32, 56, 31, 672
1. What is the LCM of 47, 32, 56, 31, 672?
Answer: LCM of 47, 32, 56, 31, 672 is 979104.
2. How to calculate the LCM of 47, 32, 56, 31, 672?
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 47, 32, 56, 31, 672.
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}.