LCM of 814, 213, 333, 314, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 213, 333, 314, 951 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 814, 213, 333, 314, 951. So, keep reading to learn more.
Given numbers are 814,213,333,314,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,213,333,314,951 is 25887146274.
Find LCM of 814,213,333,314,951 with Prime Factorization
| 2 | 814, 213, 333, 314, 951 |
| 3 | 407, 213, 333, 157, 951 |
| 37 | 407, 71, 111, 157, 317 |
| 11, 71, 3, 157, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 11 x 71 x 3 x 157 x 317 = 25887146274
Therefore, the lowest common multiple of 814,213,333,314,951 is 25887146274.
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.
814 x 213 x 333 x 314 x 951 = 17240839418484
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
213 : 1, 3, 71, 213
333 : 1, 3, 9, 37, 111, 333
314 : 1, 2, 157, 314
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,213,333,314,951, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
213:3x 71
333:3x 3x 37
314:2x 157
951:3x 317
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 37 = 666
Therefore, the value for common factors is 666.
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 = 17240839418484/(1x666)
LCM = 17240839418484/666
LCM = 25887146274
Thus, we can understand that the LCM of 814,213,333,314,951 is 25887146274.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 213, 333, 314, 951
1. What is the LCM of 814, 213, 333, 314, 951?
Answer: LCM of 814, 213, 333, 314, 951 is 25887146274.
2. How to calculate the LCM of 814, 213, 333, 314, 951?
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 814, 213, 333, 314, 951.
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}.