LCM of 965, 121, 378, 378, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 121, 378, 378, 434 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 965, 121, 378, 378, 434. So, keep reading to learn more.
Given numbers are 965,121,378,378,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,121,378,378,434 is 1368252270.
Find LCM of 965,121,378,378,434 with Prime Factorization
| 2 | 965, 121, 378, 378, 434 |
| 3 | 965, 121, 189, 189, 217 |
| 3 | 965, 121, 63, 63, 217 |
| 3 | 965, 121, 21, 21, 217 |
| 7 | 965, 121, 7, 7, 217 |
| 965, 121, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 965 x 121 x 1 x 1 x 31 = 1368252270
Therefore, the lowest common multiple of 965,121,378,378,434 is 1368252270.
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.
965 x 121 x 378 x 378 x 434 = 7240791012840
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.
965 : 1, 5, 193, 965
121 : 1, 11, 121
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,121,378,378,434, is 1.
Now, the common factors can be found like this.
965:5x 193
121:11x 11
378:2x 3x 3x 3x 7
378:2x 3x 3x 3x 7
434:2x 7x 31
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 3x 3x 3x 7x 7 = 5292
Therefore, the value for common factors is 5292.
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 = 7240791012840/(1x5292)
LCM = 7240791012840/5292
LCM = 1368252270
Thus, we can understand that the LCM of 965,121,378,378,434 is 1368252270.
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FAQs on LCM of 965, 121, 378, 378, 434
1. What is the LCM of 965, 121, 378, 378, 434?
Answer: LCM of 965, 121, 378, 378, 434 is 1368252270.
2. How to calculate the LCM of 965, 121, 378, 378, 434?
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 965, 121, 378, 378, 434.
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}.