LCM of 672, 987, 616, 471
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 987, 616, 471 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 672, 987, 616, 471. So, keep reading to learn more.
Given numbers are 672,987,616,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,987,616,471 is 54545568.
Find LCM of 672,987,616,471 with Prime Factorization
| 2 | 672, 987, 616, 471 |
| 2 | 336, 987, 308, 471 |
| 2 | 168, 987, 154, 471 |
| 3 | 84, 987, 77, 471 |
| 7 | 28, 329, 77, 157 |
| 4, 47, 11, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 4 x 47 x 11 x 157 = 54545568
Therefore, the lowest common multiple of 672,987,616,471 is 54545568.
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.
672 x 987 x 616 x 471 = 192436763904
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.
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
987 : 1, 3, 7, 21, 47, 141, 329, 987
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,987,616,471, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
987:3x 7x 47
616:2x 2x 2x 7x 11
471:3x 157
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 7x 7 = 3528
Therefore, the value for common factors is 3528.
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 = 192436763904/(1x3528)
LCM = 192436763904/3528
LCM = 54545568
Thus, we can understand that the LCM of 672,987,616,471 is 54545568.
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FAQs on LCM of 672, 987, 616, 471
1. What is the LCM of 672, 987, 616, 471?
Answer: LCM of 672, 987, 616, 471 is 54545568.
2. How to calculate the LCM of 672, 987, 616, 471?
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 672, 987, 616, 471.
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}.