LCM of 605, 190, 314, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 190, 314, 175 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 605, 190, 314, 175. So, keep reading to learn more.
Given numbers are 605,190,314,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,190,314,175 is 126330050.
Find LCM of 605,190,314,175 with Prime Factorization
| 2 | 605, 190, 314, 175 |
| 5 | 605, 95, 157, 175 |
| 121, 19, 157, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 121 x 19 x 157 x 35 = 126330050
Therefore, the lowest common multiple of 605,190,314,175 is 126330050.
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.
605 x 190 x 314 x 175 = 6316502500
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.
605 : 1, 5, 11, 55, 121, 605
190 : 1, 2, 5, 10, 19, 38, 95, 190
314 : 1, 2, 157, 314
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,190,314,175, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
190:2x 5x 19
314:2x 157
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 6316502500/(1x50)
LCM = 6316502500/50
LCM = 126330050
Thus, we can understand that the LCM of 605,190,314,175 is 126330050.
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FAQs on LCM of 605, 190, 314, 175
1. What is the LCM of 605, 190, 314, 175?
Answer: LCM of 605, 190, 314, 175 is 126330050.
2. How to calculate the LCM of 605, 190, 314, 175?
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 605, 190, 314, 175.
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}.