LCM of 861, 841, 768, 369, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 841, 768, 369, 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 861, 841, 768, 369, 672. So, keep reading to learn more.
Given numbers are 861,841,768,369,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,841,768,369,672 is 556109568.
Find LCM of 861,841,768,369,672 with Prime Factorization
| 2 | 861, 841, 768, 369, 672 |
| 2 | 861, 841, 384, 369, 336 |
| 2 | 861, 841, 192, 369, 168 |
| 2 | 861, 841, 96, 369, 84 |
| 2 | 861, 841, 48, 369, 42 |
| 3 | 861, 841, 24, 369, 21 |
| 7 | 287, 841, 8, 123, 7 |
| 41 | 41, 841, 8, 123, 1 |
| 1, 841, 8, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 41 x 1 x 841 x 8 x 3 x 1 = 556109568
Therefore, the lowest common multiple of 861,841,768,369,672 is 556109568.
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.
861 x 841 x 768 x 369 x 672 = 137897377357824
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
841 : 1, 29, 841
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
369 : 1, 3, 9, 41, 123, 369
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 861,841,768,369,672, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
841:29x 29
768:2x 2x 2x 2x 2x 2x 2x 2x 3
369:3x 3x 41
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 3x 3x 3x 7x 41 = 247968
Therefore, the value for common factors is 247968.
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 = 137897377357824/(1x247968)
LCM = 137897377357824/247968
LCM = 556109568
Thus, we can understand that the LCM of 861,841,768,369,672 is 556109568.
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FAQs on LCM of 861, 841, 768, 369, 672
1. What is the LCM of 861, 841, 768, 369, 672?
Answer: LCM of 861, 841, 768, 369, 672 is 556109568.
2. How to calculate the LCM of 861, 841, 768, 369, 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 861, 841, 768, 369, 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}.