LCM of 931, 357, 762, 272, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 357, 762, 272, 877 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 931, 357, 762, 272, 877. So, keep reading to learn more.
Given numbers are 931,357,762,272,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,357,762,272,877 is 84614180784.
Find LCM of 931,357,762,272,877 with Prime Factorization
| 2 | 931, 357, 762, 272, 877 |
| 3 | 931, 357, 381, 136, 877 |
| 7 | 931, 119, 127, 136, 877 |
| 17 | 133, 17, 127, 136, 877 |
| 133, 1, 127, 8, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 133 x 1 x 127 x 8 x 877 = 84614180784
Therefore, the lowest common multiple of 931,357,762,272,877 is 84614180784.
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.
931 x 357 x 762 x 272 x 877 = 60414525079776
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.
931 : 1, 7, 19, 49, 133, 931
357 : 1, 3, 7, 17, 21, 51, 119, 357
762 : 1, 2, 3, 6, 127, 254, 381, 762
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,357,762,272,877, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
357:3x 7x 17
762:2x 3x 127
272:2x 2x 2x 2x 17
877:877
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 7x 17 = 714
Therefore, the value for common factors is 714.
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 = 60414525079776/(1x714)
LCM = 60414525079776/714
LCM = 84614180784
Thus, we can understand that the LCM of 931,357,762,272,877 is 84614180784.
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FAQs on LCM of 931, 357, 762, 272, 877
1. What is the LCM of 931, 357, 762, 272, 877?
Answer: LCM of 931, 357, 762, 272, 877 is 84614180784.
2. How to calculate the LCM of 931, 357, 762, 272, 877?
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 931, 357, 762, 272, 877.
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}.