LCM of 155, 475, 731, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 475, 731, 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 155, 475, 731, 425. So, keep reading to learn more.
Given numbers are 155,475,731,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,475,731,425 is 10763975.
Find LCM of 155,475,731,425 with Prime Factorization
| 5 | 155, 475, 731, 425 |
| 5 | 31, 95, 731, 85 |
| 17 | 31, 19, 731, 17 |
| 31, 19, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 17 x 31 x 19 x 43 x 1 = 10763975
Therefore, the lowest common multiple of 155,475,731,425 is 10763975.
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.
155 x 475 x 731 x 425 = 22873446875
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.
155 : 1, 5, 31, 155
475 : 1, 5, 19, 25, 95, 475
731 : 1, 17, 43, 731
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 155,475,731,425, is 1.
Now, the common factors can be found like this.
155:5x 31
475:5x 5x 19
731:17x 43
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.
5x 5x 5x 17 = 2125
Therefore, the value for common factors is 2125.
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 = 22873446875/(1x2125)
LCM = 22873446875/2125
LCM = 10763975
Thus, we can understand that the LCM of 155,475,731,425 is 10763975.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 155, 475, 731, 425
1. What is the LCM of 155, 475, 731, 425?
Answer: LCM of 155, 475, 731, 425 is 10763975.
2. How to calculate the LCM of 155, 475, 731, 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 155, 475, 731, 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}.