LCM of 318, 342, 969, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 342, 969, 213 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, 342, 969, 213. So, keep reading to learn more.
Given numbers are 318,342,969,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,342,969,213 is 21878082.
Find LCM of 318,342,969,213 with Prime Factorization
| 2 | 318, 342, 969, 213 |
| 3 | 159, 171, 969, 213 |
| 19 | 53, 57, 323, 71 |
| 53, 3, 17, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 53 x 3 x 17 x 71 = 21878082
Therefore, the lowest common multiple of 318,342,969,213 is 21878082.
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 342 x 969 x 213 = 22446912132
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
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
969 : 1, 3, 17, 19, 51, 57, 323, 969
213 : 1, 3, 71, 213
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,342,969,213, is 3.
Now, the common factors can be found like this.
318:2x 3x 53
342:2x 3x 3x 19
969:3x 17x 19
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 22446912132/(3x342)
LCM = 22446912132/1026
LCM = 21878082
Thus, we can understand that the LCM of 318,342,969,213 is 21878082.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 318, 342, 969, 213
1. What is the LCM of 318, 342, 969, 213?
Answer: LCM of 318, 342, 969, 213 is 21878082.
2. How to calculate the LCM of 318, 342, 969, 213?
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, 342, 969, 213.
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}.