LCM of 889, 682, 304, 638, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 682, 304, 638, 713 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 889, 682, 304, 638, 713. So, keep reading to learn more.
Given numbers are 889,682,304,638,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,682,304,638,713 is 61468916432.
Find LCM of 889,682,304,638,713 with Prime Factorization
| 2 | 889, 682, 304, 638, 713 |
| 11 | 889, 341, 152, 319, 713 |
| 31 | 889, 31, 152, 29, 713 |
| 889, 1, 152, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 889 x 1 x 152 x 29 x 23 = 61468916432
Therefore, the lowest common multiple of 889,682,304,638,713 is 61468916432.
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.
889 x 682 x 304 x 638 x 713 = 83843602013248
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.
889 : 1, 7, 127, 889
682 : 1, 2, 11, 22, 31, 62, 341, 682
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
638 : 1, 2, 11, 22, 29, 58, 319, 638
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,682,304,638,713, is 1.
Now, the common factors can be found like this.
889:7x 127
682:2x 11x 31
304:2x 2x 2x 2x 19
638:2x 11x 29
713:23x 31
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 83843602013248/(1x1364)
LCM = 83843602013248/1364
LCM = 61468916432
Thus, we can understand that the LCM of 889,682,304,638,713 is 61468916432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 682, 304, 638, 713
1. What is the LCM of 889, 682, 304, 638, 713?
Answer: LCM of 889, 682, 304, 638, 713 is 61468916432.
2. How to calculate the LCM of 889, 682, 304, 638, 713?
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 889, 682, 304, 638, 713.
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}.