LCM of 159, 965, 376, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 965, 376, 940 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 159, 965, 376, 940. So, keep reading to learn more.
Given numbers are 159,965,376,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,965,376,940 is 57691560.
Find LCM of 159,965,376,940 with Prime Factorization
| 2 | 159, 965, 376, 940 |
| 2 | 159, 965, 188, 470 |
| 5 | 159, 965, 94, 235 |
| 47 | 159, 193, 94, 47 |
| 159, 193, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 159 x 193 x 2 x 1 = 57691560
Therefore, the lowest common multiple of 159,965,376,940 is 57691560.
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.
159 x 965 x 376 x 940 = 54230066400
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.
159 : 1, 3, 53, 159
965 : 1, 5, 193, 965
376 : 1, 2, 4, 8, 47, 94, 188, 376
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,965,376,940, is 1.
Now, the common factors can be found like this.
159:3x 53
965:5x 193
376:2x 2x 2x 47
940:2x 2x 5x 47
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 54230066400/(1x940)
LCM = 54230066400/940
LCM = 57691560
Thus, we can understand that the LCM of 159,965,376,940 is 57691560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 965, 376, 940
1. What is the LCM of 159, 965, 376, 940?
Answer: LCM of 159, 965, 376, 940 is 57691560.
2. How to calculate the LCM of 159, 965, 376, 940?
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 159, 965, 376, 940.
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}.