LCM of 192, 209, 391, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 209, 391, 420 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 192, 209, 391, 420. So, keep reading to learn more.
Given numbers are 192,209,391,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,209,391,420 is 549151680.
Find LCM of 192,209,391,420 with Prime Factorization
| 2 | 192, 209, 391, 420 |
| 2 | 96, 209, 391, 210 |
| 3 | 48, 209, 391, 105 |
| 16, 209, 391, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 16 x 209 x 391 x 35 = 549151680
Therefore, the lowest common multiple of 192,209,391,420 is 549151680.
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.
192 x 209 x 391 x 420 = 6589820160
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
209 : 1, 11, 19, 209
391 : 1, 17, 23, 391
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,209,391,420, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
209:11x 19
391:17x 23
420:2x 2x 3x 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 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 6589820160/(1x12)
LCM = 6589820160/12
LCM = 549151680
Thus, we can understand that the LCM of 192,209,391,420 is 549151680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 192, 209, 391, 420
1. What is the LCM of 192, 209, 391, 420?
Answer: LCM of 192, 209, 391, 420 is 549151680.
2. How to calculate the LCM of 192, 209, 391, 420?
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 192, 209, 391, 420.
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}.