LCM of 168, 319, 343, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 319, 343, 506 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 168, 319, 343, 506. So, keep reading to learn more.
Given numbers are 168,319,343,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,319,343,506 is 60398184.
Find LCM of 168,319,343,506 with Prime Factorization
| 2 | 168, 319, 343, 506 |
| 7 | 84, 319, 343, 253 |
| 11 | 12, 319, 49, 253 |
| 12, 29, 49, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 12 x 29 x 49 x 23 = 60398184
Therefore, the lowest common multiple of 168,319,343,506 is 60398184.
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.
168 x 319 x 343 x 506 = 9301320336
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
319 : 1, 11, 29, 319
343 : 1, 7, 49, 343
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,319,343,506, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
319:11x 29
343:7x 7x 7
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 9301320336/(1x154)
LCM = 9301320336/154
LCM = 60398184
Thus, we can understand that the LCM of 168,319,343,506 is 60398184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 168, 319, 343, 506
1. What is the LCM of 168, 319, 343, 506?
Answer: LCM of 168, 319, 343, 506 is 60398184.
2. How to calculate the LCM of 168, 319, 343, 506?
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 168, 319, 343, 506.
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}.