LCM of 187, 339, 767, 452, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 339, 767, 452, 944 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 187, 339, 767, 452, 944. So, keep reading to learn more.
Given numbers are 187,339,767,452,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,339,767,452,944 is 777958896.
Find LCM of 187,339,767,452,944 with Prime Factorization
| 2 | 187, 339, 767, 452, 944 |
| 2 | 187, 339, 767, 226, 472 |
| 59 | 187, 339, 767, 113, 236 |
| 113 | 187, 339, 13, 113, 4 |
| 187, 3, 13, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 113 x 187 x 3 x 13 x 1 x 4 = 777958896
Therefore, the lowest common multiple of 187,339,767,452,944 is 777958896.
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.
187 x 339 x 767 x 452 x 944 = 20746607838528
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.
187 : 1, 11, 17, 187
339 : 1, 3, 113, 339
767 : 1, 13, 59, 767
452 : 1, 2, 4, 113, 226, 452
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,339,767,452,944, is 1.
Now, the common factors can be found like this.
187:11x 17
339:3x 113
767:13x 59
452:2x 2x 113
944:2x 2x 2x 2x 59
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 59x 113 = 26668
Therefore, the value for common factors is 26668.
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 = 20746607838528/(1x26668)
LCM = 20746607838528/26668
LCM = 777958896
Thus, we can understand that the LCM of 187,339,767,452,944 is 777958896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 339, 767, 452, 944
1. What is the LCM of 187, 339, 767, 452, 944?
Answer: LCM of 187, 339, 767, 452, 944 is 777958896.
2. How to calculate the LCM of 187, 339, 767, 452, 944?
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 187, 339, 767, 452, 944.
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}.