LCM of 714, 419, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 419, 119 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 714, 419, 119. So, keep reading to learn more.
Given numbers are 714,419,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,419,119 is 299166.
Find LCM of 714,419,119 with Prime Factorization
| 7 | 714, 419, 119 |
| 17 | 102, 419, 17 |
| 6, 419, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 6 x 419 x 1 = 299166
Therefore, the lowest common multiple of 714,419,119 is 299166.
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.
714 x 419 x 119 = 35600754
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
419 : 1, 419
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,419,119, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
419:419
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 35600754/(1x119)
LCM = 35600754/119
LCM = 299166
Thus, we can understand that the LCM of 714,419,119 is 299166.
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FAQs on LCM of 714, 419, 119
1. What is the LCM of 714, 419, 119?
Answer: LCM of 714, 419, 119 is 299166.
2. How to calculate the LCM of 714, 419, 119?
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 714, 419, 119.
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}.