LCM of 191, 319, 378, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 191, 319, 378, 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 191, 319, 378, 420. So, keep reading to learn more.
Given numbers are 191,319,378,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 191,319,378,420 is 230311620.
Find LCM of 191,319,378,420 with Prime Factorization
| 2 | 191, 319, 378, 420 |
| 3 | 191, 319, 189, 210 |
| 7 | 191, 319, 63, 70 |
| 191, 319, 9, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 191 x 319 x 9 x 10 = 230311620
Therefore, the lowest common multiple of 191,319,378,420 is 230311620.
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.
191 x 319 x 378 x 420 = 9673088040
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.
191 : 1, 191
319 : 1, 11, 29, 319
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 191,319,378,420, is 1.
Now, the common factors can be found like this.
191:191
319:11x 29
378:2x 3x 3x 3x 7
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 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 9673088040/(1x42)
LCM = 9673088040/42
LCM = 230311620
Thus, we can understand that the LCM of 191,319,378,420 is 230311620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 191, 319, 378, 420
1. What is the LCM of 191, 319, 378, 420?
Answer: LCM of 191, 319, 378, 420 is 230311620.
2. How to calculate the LCM of 191, 319, 378, 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 191, 319, 378, 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}.