LCM of 310, 272, 238, 856, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 272, 238, 856, 210 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 310, 272, 238, 856, 210. So, keep reading to learn more.
Given numbers are 310,272,238,856,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,272,238,856,210 is 94733520.
Find LCM of 310,272,238,856,210 with Prime Factorization
| 2 | 310, 272, 238, 856, 210 |
| 2 | 155, 136, 119, 428, 105 |
| 2 | 155, 68, 119, 214, 105 |
| 5 | 155, 34, 119, 107, 105 |
| 7 | 31, 34, 119, 107, 21 |
| 17 | 31, 34, 17, 107, 3 |
| 31, 2, 1, 107, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 17 x 31 x 2 x 1 x 107 x 3 = 94733520
Therefore, the lowest common multiple of 310,272,238,856,210 is 94733520.
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.
310 x 272 x 238 x 856 x 210 = 3607452441600
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
238 : 1, 2, 7, 14, 17, 34, 119, 238
856 : 1, 2, 4, 8, 107, 214, 428, 856
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,272,238,856,210, is 2.
Now, the common factors can be found like this.
310:2x 5x 31
272:2x 2x 2x 2x 17
238:2x 7x 17
856:2x 2x 2x 107
210:2x 3x 5x 7
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 5x 7x 17 = 19040
Therefore, the value for common factors is 19040.
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 = 3607452441600/(2x19040)
LCM = 3607452441600/38080
LCM = 94733520
Thus, we can understand that the LCM of 310,272,238,856,210 is 94733520.
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FAQs on LCM of 310, 272, 238, 856, 210
1. What is the LCM of 310, 272, 238, 856, 210?
Answer: LCM of 310, 272, 238, 856, 210 is 94733520.
2. How to calculate the LCM of 310, 272, 238, 856, 210?
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 310, 272, 238, 856, 210.
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}.