LCM of 894, 828, 527, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 828, 527, 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 894, 828, 527, 713. So, keep reading to learn more.
Given numbers are 894,828,527,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,828,527,713 is 65017044.
Find LCM of 894,828,527,713 with Prime Factorization
| 2 | 894, 828, 527, 713 |
| 3 | 447, 414, 527, 713 |
| 23 | 149, 138, 527, 713 |
| 31 | 149, 6, 527, 31 |
| 149, 6, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 31 x 149 x 6 x 17 x 1 = 65017044
Therefore, the lowest common multiple of 894,828,527,713 is 65017044.
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.
894 x 828 x 527 x 713 = 278142914232
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
527 : 1, 17, 31, 527
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,828,527,713, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
828:2x 2x 3x 3x 23
527:17x 31
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 3x 23x 31 = 4278
Therefore, the value for common factors is 4278.
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 = 278142914232/(1x4278)
LCM = 278142914232/4278
LCM = 65017044
Thus, we can understand that the LCM of 894,828,527,713 is 65017044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 828, 527, 713
1. What is the LCM of 894, 828, 527, 713?
Answer: LCM of 894, 828, 527, 713 is 65017044.
2. How to calculate the LCM of 894, 828, 527, 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 894, 828, 527, 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}.