LCM of 627, 402, 764, 849, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 402, 764, 849, 513 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 627, 402, 764, 849, 513. So, keep reading to learn more.
Given numbers are 627,402,764,849,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,402,764,849,513 is 81745649172.
Find LCM of 627,402,764,849,513 with Prime Factorization
| 2 | 627, 402, 764, 849, 513 |
| 3 | 627, 201, 382, 849, 513 |
| 19 | 209, 67, 382, 283, 171 |
| 11, 67, 382, 283, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 11 x 67 x 382 x 283 x 9 = 81745649172
Therefore, the lowest common multiple of 627,402,764,849,513 is 81745649172.
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.
627 x 402 x 764 x 849 x 513 = 83871036050472
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
402 : 1, 2, 3, 6, 67, 134, 201, 402
764 : 1, 2, 4, 191, 382, 764
849 : 1, 3, 283, 849
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,402,764,849,513, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
402:2x 3x 67
764:2x 2x 191
849:3x 283
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 19 = 1026
Therefore, the value for common factors is 1026.
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 = 83871036050472/(1x1026)
LCM = 83871036050472/1026
LCM = 81745649172
Thus, we can understand that the LCM of 627,402,764,849,513 is 81745649172.
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FAQs on LCM of 627, 402, 764, 849, 513
1. What is the LCM of 627, 402, 764, 849, 513?
Answer: LCM of 627, 402, 764, 849, 513 is 81745649172.
2. How to calculate the LCM of 627, 402, 764, 849, 513?
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 627, 402, 764, 849, 513.
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}.