LCM of 787, 756, 844, 671, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 756, 844, 671, 956 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 787, 756, 844, 671, 956. So, keep reading to learn more.
Given numbers are 787,756,844,671,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,756,844,671,956 is 20132578644948.
Find LCM of 787,756,844,671,956 with Prime Factorization
| 2 | 787, 756, 844, 671, 956 |
| 2 | 787, 378, 422, 671, 478 |
| 787, 189, 211, 671, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 787 x 189 x 211 x 671 x 239 = 20132578644948
Therefore, the lowest common multiple of 787,756,844,671,956 is 20132578644948.
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.
787 x 756 x 844 x 671 x 956 = 322121258319168
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.
787 : 1, 787
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
844 : 1, 2, 4, 211, 422, 844
671 : 1, 11, 61, 671
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,756,844,671,956, is 1.
Now, the common factors can be found like this.
787:787
756:2x 2x 3x 3x 3x 7
844:2x 2x 211
671:11x 61
956:2x 2x 239
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 322121258319168/(1x16)
LCM = 322121258319168/16
LCM = 20132578644948
Thus, we can understand that the LCM of 787,756,844,671,956 is 20132578644948.
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FAQs on LCM of 787, 756, 844, 671, 956
1. What is the LCM of 787, 756, 844, 671, 956?
Answer: LCM of 787, 756, 844, 671, 956 is 20132578644948.
2. How to calculate the LCM of 787, 756, 844, 671, 956?
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 787, 756, 844, 671, 956.
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}.