LCM of 314, 128, 896, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 128, 896, 602 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 314, 128, 896, 602. So, keep reading to learn more.
Given numbers are 314,128,896,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,128,896,602 is 6048896.
Find LCM of 314,128,896,602 with Prime Factorization
| 2 | 314, 128, 896, 602 |
| 2 | 157, 64, 448, 301 |
| 2 | 157, 32, 224, 301 |
| 2 | 157, 16, 112, 301 |
| 2 | 157, 8, 56, 301 |
| 2 | 157, 4, 28, 301 |
| 2 | 157, 2, 14, 301 |
| 7 | 157, 1, 7, 301 |
| 157, 1, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 157 x 1 x 1 x 43 = 6048896
Therefore, the lowest common multiple of 314,128,896,602 is 6048896.
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.
314 x 128 x 896 x 602 = 21679243264
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.
314 : 1, 2, 157, 314
128 : 1, 2, 4, 8, 16, 32, 64, 128
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
602 : 1, 2, 7, 14, 43, 86, 301, 602
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,128,896,602, is 2.
Now, the common factors can be found like this.
314:2x 157
128:2x 2x 2x 2x 2x 2x 2
896:2x 2x 2x 2x 2x 2x 2x 7
602:2x 7x 43
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 = 21679243264/(2x1792)
LCM = 21679243264/3584
LCM = 6048896
Thus, we can understand that the LCM of 314,128,896,602 is 6048896.
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FAQs on LCM of 314, 128, 896, 602
1. What is the LCM of 314, 128, 896, 602?
Answer: LCM of 314, 128, 896, 602 is 6048896.
2. How to calculate the LCM of 314, 128, 896, 602?
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 314, 128, 896, 602.
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}.