LCM of 510, 119, 419, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 119, 419, 334 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 510, 119, 419, 334. So, keep reading to learn more.
Given numbers are 510,119,419,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,119,419,334 is 249803610.
Find LCM of 510,119,419,334 with Prime Factorization
| 2 | 510, 119, 419, 334 |
| 17 | 255, 119, 419, 167 |
| 15, 7, 419, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 15 x 7 x 419 x 167 = 249803610
Therefore, the lowest common multiple of 510,119,419,334 is 249803610.
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.
510 x 119 x 419 x 334 = 8493322740
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
119 : 1, 7, 17, 119
419 : 1, 419
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,119,419,334, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
119:7x 17
419:419
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 8493322740/(1x34)
LCM = 8493322740/34
LCM = 249803610
Thus, we can understand that the LCM of 510,119,419,334 is 249803610.
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FAQs on LCM of 510, 119, 419, 334
1. What is the LCM of 510, 119, 419, 334?
Answer: LCM of 510, 119, 419, 334 is 249803610.
2. How to calculate the LCM of 510, 119, 419, 334?
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 510, 119, 419, 334.
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}.