LCM of 157, 943, 656, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 943, 656, 851 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 157, 943, 656, 851. So, keep reading to learn more.
Given numbers are 157,943,656,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,943,656,851 is 87646192.
Find LCM of 157,943,656,851 with Prime Factorization
| 23 | 157, 943, 656, 851 |
| 41 | 157, 41, 656, 37 |
| 157, 1, 16, 37 |
Multiply the prime numbers at the bottom and the left side.
23 x 41 x 157 x 1 x 16 x 37 = 87646192
Therefore, the lowest common multiple of 157,943,656,851 is 87646192.
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.
157 x 943 x 656 x 851 = 82650359056
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.
157 : 1, 157
943 : 1, 23, 41, 943
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,943,656,851, is 1.
Now, the common factors can be found like this.
157:157
943:23x 41
656:2x 2x 2x 2x 41
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 41 = 943
Therefore, the value for common factors is 943.
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 = 82650359056/(1x943)
LCM = 82650359056/943
LCM = 87646192
Thus, we can understand that the LCM of 157,943,656,851 is 87646192.
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FAQs on LCM of 157, 943, 656, 851
1. What is the LCM of 157, 943, 656, 851?
Answer: LCM of 157, 943, 656, 851 is 87646192.
2. How to calculate the LCM of 157, 943, 656, 851?
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 157, 943, 656, 851.
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}.