LCM of 896, 136, 527, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 136, 527, 390 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, 136, 527, 390. So, keep reading to learn more.
Given numbers are 896,136,527,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,136,527,390 is 92077440.
Find LCM of 896,136,527,390 with Prime Factorization
| 2 | 896, 136, 527, 390 |
| 2 | 448, 68, 527, 195 |
| 2 | 224, 34, 527, 195 |
| 17 | 112, 17, 527, 195 |
| 112, 1, 31, 195 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 112 x 1 x 31 x 195 = 92077440
Therefore, the lowest common multiple of 896,136,527,390 is 92077440.
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 136 x 527 x 390 = 25045063680
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
136 : 1, 2, 4, 8, 17, 34, 68, 136
527 : 1, 17, 31, 527
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,136,527,390, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
136:2x 2x 2x 17
527:17x 31
390:2x 3x 5x 13
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 17 = 272
Therefore, the value for common factors is 272.
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 = 25045063680/(1x272)
LCM = 25045063680/272
LCM = 92077440
Thus, we can understand that the LCM of 896,136,527,390 is 92077440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 896, 136, 527, 390
1. What is the LCM of 896, 136, 527, 390?
Answer: LCM of 896, 136, 527, 390 is 92077440.
2. How to calculate the LCM of 896, 136, 527, 390?
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, 136, 527, 390.
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}.