LCM of 896, 692, 749, 327, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 692, 749, 327, 687 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 896, 692, 749, 327, 687. So, keep reading to learn more.
Given numbers are 896,692,749,327,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,692,749,327,687 is 1241998654848.
Find LCM of 896,692,749,327,687 with Prime Factorization
| 2 | 896, 692, 749, 327, 687 |
| 2 | 448, 346, 749, 327, 687 |
| 3 | 224, 173, 749, 327, 687 |
| 7 | 224, 173, 749, 109, 229 |
| 32, 173, 107, 109, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 32 x 173 x 107 x 109 x 229 = 1241998654848
Therefore, the lowest common multiple of 896,692,749,327,687 is 1241998654848.
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.
896 x 692 x 749 x 327 x 687 = 104327887007232
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
692 : 1, 2, 4, 173, 346, 692
749 : 1, 7, 107, 749
327 : 1, 3, 109, 327
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,692,749,327,687, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
692:2x 2x 173
749:7x 107
327:3x 109
687:3x 229
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 104327887007232/(1x84)
LCM = 104327887007232/84
LCM = 1241998654848
Thus, we can understand that the LCM of 896,692,749,327,687 is 1241998654848.
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FAQs on LCM of 896, 692, 749, 327, 687
1. What is the LCM of 896, 692, 749, 327, 687?
Answer: LCM of 896, 692, 749, 327, 687 is 1241998654848.
2. How to calculate the LCM of 896, 692, 749, 327, 687?
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 896, 692, 749, 327, 687.
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}.