LCM of 310, 472, 238, 803, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 472, 238, 803, 517 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, 472, 238, 803, 517. So, keep reading to learn more.
Given numbers are 310,472,238,803,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,472,238,803,517 is 328574655640.
Find LCM of 310,472,238,803,517 with Prime Factorization
| 2 | 310, 472, 238, 803, 517 |
| 11 | 155, 236, 119, 803, 517 |
| 155, 236, 119, 73, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 155 x 236 x 119 x 73 x 47 = 328574655640
Therefore, the lowest common multiple of 310,472,238,803,517 is 328574655640.
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 472 x 238 x 803 x 517 = 14457284848160
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
472 : 1, 2, 4, 8, 59, 118, 236, 472
238 : 1, 2, 7, 14, 17, 34, 119, 238
803 : 1, 11, 73, 803
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,472,238,803,517, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
472:2x 2x 2x 59
238:2x 7x 17
803:11x 73
517:11x 47
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 11 = 44
Therefore, the value for common factors is 44.
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 = 14457284848160/(1x44)
LCM = 14457284848160/44
LCM = 328574655640
Thus, we can understand that the LCM of 310,472,238,803,517 is 328574655640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 472, 238, 803, 517
1. What is the LCM of 310, 472, 238, 803, 517?
Answer: LCM of 310, 472, 238, 803, 517 is 328574655640.
2. How to calculate the LCM of 310, 472, 238, 803, 517?
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, 472, 238, 803, 517.
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}.