LCM of 897, 162, 624, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 162, 624, 314 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 897, 162, 624, 314. So, keep reading to learn more.
Given numbers are 897,162,624,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,162,624,314 is 60838128.
Find LCM of 897,162,624,314 with Prime Factorization
| 2 | 897, 162, 624, 314 |
| 3 | 897, 81, 312, 157 |
| 13 | 299, 27, 104, 157 |
| 23, 27, 8, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 27 x 8 x 157 = 60838128
Therefore, the lowest common multiple of 897,162,624,314 is 60838128.
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.
897 x 162 x 624 x 314 = 28472243904
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,162,624,314, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
162:2x 3x 3x 3x 3
624:2x 2x 2x 2x 3x 13
314:2x 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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 28472243904/(1x468)
LCM = 28472243904/468
LCM = 60838128
Thus, we can understand that the LCM of 897,162,624,314 is 60838128.
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FAQs on LCM of 897, 162, 624, 314
1. What is the LCM of 897, 162, 624, 314?
Answer: LCM of 897, 162, 624, 314 is 60838128.
2. How to calculate the LCM of 897, 162, 624, 314?
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 897, 162, 624, 314.
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}.