LCM of 146, 657, 255, 381, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 657, 255, 381, 425 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 146, 657, 255, 381, 425. So, keep reading to learn more.
Given numbers are 146,657,255,381,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,657,255,381,425 is 70923150.
Find LCM of 146,657,255,381,425 with Prime Factorization
| 3 | 146, 657, 255, 381, 425 |
| 5 | 146, 219, 85, 127, 425 |
| 17 | 146, 219, 17, 127, 85 |
| 73 | 146, 219, 1, 127, 5 |
| 2, 3, 1, 127, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 73 x 2 x 3 x 1 x 127 x 5 = 70923150
Therefore, the lowest common multiple of 146,657,255,381,425 is 70923150.
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.
146 x 657 x 255 x 381 x 425 = 3960703311750
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.
146 : 1, 2, 73, 146
657 : 1, 3, 9, 73, 219, 657
255 : 1, 3, 5, 15, 17, 51, 85, 255
381 : 1, 3, 127, 381
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,657,255,381,425, is 1.
Now, the common factors can be found like this.
146:2x 73
657:3x 3x 73
255:3x 5x 17
381:3x 127
425:5x 5x 17
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 17x 73 = 55845
Therefore, the value for common factors is 55845.
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 = 3960703311750/(1x55845)
LCM = 3960703311750/55845
LCM = 70923150
Thus, we can understand that the LCM of 146,657,255,381,425 is 70923150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 657, 255, 381, 425
1. What is the LCM of 146, 657, 255, 381, 425?
Answer: LCM of 146, 657, 255, 381, 425 is 70923150.
2. How to calculate the LCM of 146, 657, 255, 381, 425?
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 146, 657, 255, 381, 425.
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}.