LCM of 339, 473, 903, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 473, 903, 510 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 339, 473, 903, 510. So, keep reading to learn more.
Given numbers are 339,473,903,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,473,903,510 is 190812930.
Find LCM of 339,473,903,510 with Prime Factorization
| 3 | 339, 473, 903, 510 |
| 43 | 113, 473, 301, 170 |
| 113, 11, 7, 170 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 113 x 11 x 7 x 170 = 190812930
Therefore, the lowest common multiple of 339,473,903,510 is 190812930.
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.
339 x 473 x 903 x 510 = 73844603910
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.
339 : 1, 3, 113, 339
473 : 1, 11, 43, 473
903 : 1, 3, 7, 21, 43, 129, 301, 903
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,473,903,510, is 1.
Now, the common factors can be found like this.
339:3x 113
473:11x 43
903:3x 7x 43
510:2x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 43 = 387
Therefore, the value for common factors is 387.
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 = 73844603910/(1x387)
LCM = 73844603910/387
LCM = 190812930
Thus, we can understand that the LCM of 339,473,903,510 is 190812930.
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FAQs on LCM of 339, 473, 903, 510
1. What is the LCM of 339, 473, 903, 510?
Answer: LCM of 339, 473, 903, 510 is 190812930.
2. How to calculate the LCM of 339, 473, 903, 510?
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 339, 473, 903, 510.
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}.