LCM of 191, 969, 896, 901, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 191, 969, 896, 901, 714 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 191, 969, 896, 901, 714. So, keep reading to learn more.
Given numbers are 191,969,896,901,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 191,969,896,901,714 is 8789031552.
Find LCM of 191,969,896,901,714 with Prime Factorization
| 2 | 191, 969, 896, 901, 714 |
| 3 | 191, 969, 448, 901, 357 |
| 7 | 191, 323, 448, 901, 119 |
| 17 | 191, 323, 64, 901, 17 |
| 191, 19, 64, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 191 x 19 x 64 x 53 x 1 = 8789031552
Therefore, the lowest common multiple of 191,969,896,901,714 is 8789031552.
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.
191 x 969 x 896 x 901 x 714 = 106681264978176
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.
191 : 1, 191
969 : 1, 3, 17, 19, 51, 57, 323, 969
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
901 : 1, 17, 53, 901
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,969,896,901,714, is 1.
Now, the common factors can be found like this.
191:191
969:3x 17x 19
896:2x 2x 2x 2x 2x 2x 2x 7
901:17x 53
714:2x 3x 7x 17
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 17x 17 = 12138
Therefore, the value for common factors is 12138.
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 = 106681264978176/(1x12138)
LCM = 106681264978176/12138
LCM = 8789031552
Thus, we can understand that the LCM of 191,969,896,901,714 is 8789031552.
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FAQs on LCM of 191, 969, 896, 901, 714
1. What is the LCM of 191, 969, 896, 901, 714?
Answer: LCM of 191, 969, 896, 901, 714 is 8789031552.
2. How to calculate the LCM of 191, 969, 896, 901, 714?
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 191, 969, 896, 901, 714.
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}.