LCM of 314, 197, 209, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 197, 209, 642 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 314, 197, 209, 642. So, keep reading to learn more.
Given numbers are 314,197,209,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,197,209,642 is 4149991362.
Find LCM of 314,197,209,642 with Prime Factorization
| 2 | 314, 197, 209, 642 |
| 157, 197, 209, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 197 x 209 x 321 = 4149991362
Therefore, the lowest common multiple of 314,197,209,642 is 4149991362.
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.
314 x 197 x 209 x 642 = 8299982724
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.
314 : 1, 2, 157, 314
197 : 1, 197
209 : 1, 11, 19, 209
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,197,209,642, is 1.
Now, the common factors can be found like this.
314:2x 157
197:197
209:11x 19
642:2x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 8299982724/(1x2)
LCM = 8299982724/2
LCM = 4149991362
Thus, we can understand that the LCM of 314,197,209,642 is 4149991362.
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FAQs on LCM of 314, 197, 209, 642
1. What is the LCM of 314, 197, 209, 642?
Answer: LCM of 314, 197, 209, 642 is 4149991362.
2. How to calculate the LCM of 314, 197, 209, 642?
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 314, 197, 209, 642.
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}.