LCM of 435, 285, 969, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 285, 969, 146 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 435, 285, 969, 146. So, keep reading to learn more.
Given numbers are 435,285,969,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,285,969,146 is 20513730.
Find LCM of 435,285,969,146 with Prime Factorization
| 3 | 435, 285, 969, 146 |
| 5 | 145, 95, 323, 146 |
| 19 | 29, 19, 323, 146 |
| 29, 1, 17, 146 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 29 x 1 x 17 x 146 = 20513730
Therefore, the lowest common multiple of 435,285,969,146 is 20513730.
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.
435 x 285 x 969 x 146 = 17539239150
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
285 : 1, 3, 5, 15, 19, 57, 95, 285
969 : 1, 3, 17, 19, 51, 57, 323, 969
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,285,969,146, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
285:3x 5x 19
969:3x 17x 19
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 19 = 855
Therefore, the value for common factors is 855.
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 = 17539239150/(1x855)
LCM = 17539239150/855
LCM = 20513730
Thus, we can understand that the LCM of 435,285,969,146 is 20513730.
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FAQs on LCM of 435, 285, 969, 146
1. What is the LCM of 435, 285, 969, 146?
Answer: LCM of 435, 285, 969, 146 is 20513730.
2. How to calculate the LCM of 435, 285, 969, 146?
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 435, 285, 969, 146.
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}.