LCM of 781, 813, 671, 852, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 813, 671, 852, 894 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 781, 813, 671, 852, 894. So, keep reading to learn more.
Given numbers are 781,813,671,852,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,813,671,852,894 is 23084351268.
Find LCM of 781,813,671,852,894 with Prime Factorization
| 2 | 781, 813, 671, 852, 894 |
| 3 | 781, 813, 671, 426, 447 |
| 11 | 781, 271, 671, 142, 149 |
| 71 | 71, 271, 61, 142, 149 |
| 1, 271, 61, 2, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 1 x 271 x 61 x 2 x 149 = 23084351268
Therefore, the lowest common multiple of 781,813,671,852,894 is 23084351268.
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.
781 x 813 x 671 x 852 x 894 = 324519810125544
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.
781 : 1, 11, 71, 781
813 : 1, 3, 271, 813
671 : 1, 11, 61, 671
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,813,671,852,894, is 1.
Now, the common factors can be found like this.
781:11x 71
813:3x 271
671:11x 61
852:2x 2x 3x 71
894:2x 3x 149
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 11x 71 = 14058
Therefore, the value for common factors is 14058.
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 = 324519810125544/(1x14058)
LCM = 324519810125544/14058
LCM = 23084351268
Thus, we can understand that the LCM of 781,813,671,852,894 is 23084351268.
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FAQs on LCM of 781, 813, 671, 852, 894
1. What is the LCM of 781, 813, 671, 852, 894?
Answer: LCM of 781, 813, 671, 852, 894 is 23084351268.
2. How to calculate the LCM of 781, 813, 671, 852, 894?
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 781, 813, 671, 852, 894.
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}.