LCM of 57, 84, 84, 24, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 57, 84, 84, 24, 318 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 57, 84, 84, 24, 318. So, keep reading to learn more.
Given numbers are 57,84,84,24,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 57,84,84,24,318 is 169176.
Find LCM of 57,84,84,24,318 with Prime Factorization
| 2 | 57, 84, 84, 24, 318 |
| 2 | 57, 42, 42, 12, 159 |
| 3 | 57, 21, 21, 6, 159 |
| 7 | 19, 7, 7, 2, 53 |
| 19, 1, 1, 2, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 1 x 1 x 2 x 53 = 169176
Therefore, the lowest common multiple of 57,84,84,24,318 is 169176.
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.
57 x 84 x 84 x 24 x 318 = 3069529344
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.
57 : 1, 3, 19, 57
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
24 : 1, 2, 3, 4, 6, 8, 12, 24
318 : 1, 2, 3, 6, 53, 106, 159, 318
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 57,84,84,24,318, is 3.
Now, the common factors can be found like this.
57:3x 19
84:2x 2x 3x 7
84:2x 2x 3x 7
24:2x 2x 2x 3
318:2x 3x 53
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 7 = 6048
Therefore, the value for common factors is 6048.
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 = 3069529344/(3x6048)
LCM = 3069529344/18144
LCM = 169176
Thus, we can understand that the LCM of 57,84,84,24,318 is 169176.
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FAQs on LCM of 57, 84, 84, 24, 318
1. What is the LCM of 57, 84, 84, 24, 318?
Answer: LCM of 57, 84, 84, 24, 318 is 169176.
2. How to calculate the LCM of 57, 84, 84, 24, 318?
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 57, 84, 84, 24, 318.
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}.