LCM of 217, 361, 667, 420, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 361, 667, 420, 310 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 217, 361, 667, 420, 310. So, keep reading to learn more.
Given numbers are 217,361,667,420,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,361,667,420,310 is 3135046740.
Find LCM of 217,361,667,420,310 with Prime Factorization
| 2 | 217, 361, 667, 420, 310 |
| 5 | 217, 361, 667, 210, 155 |
| 7 | 217, 361, 667, 42, 31 |
| 31 | 31, 361, 667, 6, 31 |
| 1, 361, 667, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 31 x 1 x 361 x 667 x 6 x 1 = 3135046740
Therefore, the lowest common multiple of 217,361,667,420,310 is 3135046740.
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.
217 x 361 x 667 x 420 x 310 = 6803051425800
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.
217 : 1, 7, 31, 217
361 : 1, 19, 361
667 : 1, 23, 29, 667
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,361,667,420,310, is 1.
Now, the common factors can be found like this.
217:7x 31
361:19x 19
667:23x 29
420:2x 2x 3x 5x 7
310:2x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 31 = 2170
Therefore, the value for common factors is 2170.
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 = 6803051425800/(1x2170)
LCM = 6803051425800/2170
LCM = 3135046740
Thus, we can understand that the LCM of 217,361,667,420,310 is 3135046740.
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FAQs on LCM of 217, 361, 667, 420, 310
1. What is the LCM of 217, 361, 667, 420, 310?
Answer: LCM of 217, 361, 667, 420, 310 is 3135046740.
2. How to calculate the LCM of 217, 361, 667, 420, 310?
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 217, 361, 667, 420, 310.
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}.