LCM of 318, 208, 314, 424, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 208, 314, 424, 429 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 318, 208, 314, 424, 429. So, keep reading to learn more.
Given numbers are 318,208,314,424,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,208,314,424,429 is 57115344.
Find LCM of 318,208,314,424,429 with Prime Factorization
| 2 | 318, 208, 314, 424, 429 |
| 2 | 159, 104, 157, 212, 429 |
| 2 | 159, 52, 157, 106, 429 |
| 3 | 159, 26, 157, 53, 429 |
| 13 | 53, 26, 157, 53, 143 |
| 53 | 53, 2, 157, 53, 11 |
| 1, 2, 157, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 53 x 1 x 2 x 157 x 1 x 11 = 57115344
Therefore, the lowest common multiple of 318,208,314,424,429 is 57115344.
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.
318 x 208 x 314 x 424 x 429 = 3777837313536
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
314 : 1, 2, 157, 314
424 : 1, 2, 4, 8, 53, 106, 212, 424
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,208,314,424,429, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
208:2x 2x 2x 2x 13
314:2x 157
424:2x 2x 2x 53
429:3x 11x 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 2x 3x 13x 53 = 66144
Therefore, the value for common factors is 66144.
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 = 3777837313536/(1x66144)
LCM = 3777837313536/66144
LCM = 57115344
Thus, we can understand that the LCM of 318,208,314,424,429 is 57115344.
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FAQs on LCM of 318, 208, 314, 424, 429
1. What is the LCM of 318, 208, 314, 424, 429?
Answer: LCM of 318, 208, 314, 424, 429 is 57115344.
2. How to calculate the LCM of 318, 208, 314, 424, 429?
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 318, 208, 314, 424, 429.
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}.