LCM of 291, 378, 657, 957, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 378, 657, 957, 102 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 291, 378, 657, 957, 102. So, keep reading to learn more.
Given numbers are 291,378,657,957,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,378,657,957,102 is 14515299414.
Find LCM of 291,378,657,957,102 with Prime Factorization
| 2 | 291, 378, 657, 957, 102 |
| 3 | 291, 189, 657, 957, 51 |
| 3 | 97, 63, 219, 319, 17 |
| 97, 21, 73, 319, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 97 x 21 x 73 x 319 x 17 = 14515299414
Therefore, the lowest common multiple of 291,378,657,957,102 is 14515299414.
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.
291 x 378 x 657 x 957 x 102 = 7054435515204
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.
291 : 1, 3, 97, 291
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
657 : 1, 3, 9, 73, 219, 657
957 : 1, 3, 11, 29, 33, 87, 319, 957
102 : 1, 2, 3, 6, 17, 34, 51, 102
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,378,657,957,102, is 3.
Now, the common factors can be found like this.
291:3x 97
378:2x 3x 3x 3x 7
657:3x 3x 73
957:3x 11x 29
102:2x 3x 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 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 7054435515204/(3x162)
LCM = 7054435515204/486
LCM = 14515299414
Thus, we can understand that the LCM of 291,378,657,957,102 is 14515299414.
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FAQs on LCM of 291, 378, 657, 957, 102
1. What is the LCM of 291, 378, 657, 957, 102?
Answer: LCM of 291, 378, 657, 957, 102 is 14515299414.
2. How to calculate the LCM of 291, 378, 657, 957, 102?
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 291, 378, 657, 957, 102.
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}.