LCM of 933, 340, 660, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 340, 660, 214 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 933, 340, 660, 214. So, keep reading to learn more.
Given numbers are 933,340,660,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,340,660,214 is 373367940.
Find LCM of 933,340,660,214 with Prime Factorization
| 2 | 933, 340, 660, 214 |
| 2 | 933, 170, 330, 107 |
| 3 | 933, 85, 165, 107 |
| 5 | 311, 85, 55, 107 |
| 311, 17, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 311 x 17 x 11 x 107 = 373367940
Therefore, the lowest common multiple of 933,340,660,214 is 373367940.
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.
933 x 340 x 660 x 214 = 44804152800
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.
933 : 1, 3, 311, 933
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,340,660,214, is 1.
Now, the common factors can be found like this.
933:3x 311
340:2x 2x 5x 17
660:2x 2x 3x 5x 11
214:2x 107
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 44804152800/(1x120)
LCM = 44804152800/120
LCM = 373367940
Thus, we can understand that the LCM of 933,340,660,214 is 373367940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 933, 340, 660, 214
1. What is the LCM of 933, 340, 660, 214?
Answer: LCM of 933, 340, 660, 214 is 373367940.
2. How to calculate the LCM of 933, 340, 660, 214?
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 933, 340, 660, 214.
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}.