LCM of 513, 747, 971, 312, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 747, 971, 312, 415 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 513, 747, 971, 312, 415. So, keep reading to learn more.
Given numbers are 513,747,971,312,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,747,971,312,415 is 21498988680.
Find LCM of 513,747,971,312,415 with Prime Factorization
| 3 | 513, 747, 971, 312, 415 |
| 3 | 171, 249, 971, 104, 415 |
| 83 | 57, 83, 971, 104, 415 |
| 57, 1, 971, 104, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 83 x 57 x 1 x 971 x 104 x 5 = 21498988680
Therefore, the lowest common multiple of 513,747,971,312,415 is 21498988680.
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.
513 x 747 x 971 x 312 x 415 = 48179233631880
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
747 : 1, 3, 9, 83, 249, 747
971 : 1, 971
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,747,971,312,415, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
747:3x 3x 83
971:971
312:2x 2x 2x 3x 13
415:5x 83
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 3x 83 = 2241
Therefore, the value for common factors is 2241.
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 = 48179233631880/(1x2241)
LCM = 48179233631880/2241
LCM = 21498988680
Thus, we can understand that the LCM of 513,747,971,312,415 is 21498988680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 747, 971, 312, 415
1. What is the LCM of 513, 747, 971, 312, 415?
Answer: LCM of 513, 747, 971, 312, 415 is 21498988680.
2. How to calculate the LCM of 513, 747, 971, 312, 415?
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 513, 747, 971, 312, 415.
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}.