LCM of 975, 391, 230, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 391, 230, 614 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 975, 391, 230, 614. So, keep reading to learn more.
Given numbers are 975,391,230,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,391,230,614 is 234072150.
Find LCM of 975,391,230,614 with Prime Factorization
| 2 | 975, 391, 230, 614 |
| 5 | 975, 391, 115, 307 |
| 23 | 195, 391, 23, 307 |
| 195, 17, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 195 x 17 x 1 x 307 = 234072150
Therefore, the lowest common multiple of 975,391,230,614 is 234072150.
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.
975 x 391 x 230 x 614 = 53836594500
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
391 : 1, 17, 23, 391
230 : 1, 2, 5, 10, 23, 46, 115, 230
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,391,230,614, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
391:17x 23
230:2x 5x 23
614:2x 307
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 23 = 230
Therefore, the value for common factors is 230.
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 = 53836594500/(1x230)
LCM = 53836594500/230
LCM = 234072150
Thus, we can understand that the LCM of 975,391,230,614 is 234072150.
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FAQs on LCM of 975, 391, 230, 614
1. What is the LCM of 975, 391, 230, 614?
Answer: LCM of 975, 391, 230, 614 is 234072150.
2. How to calculate the LCM of 975, 391, 230, 614?
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 975, 391, 230, 614.
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}.