LCM of 168, 105, 275, 549, 293
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 105, 275, 549, 293 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, 105, 275, 549, 293. So, keep reading to learn more.
Given numbers are 168,105,275,549,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,105,275,549,293 is 2477197800.
Find LCM of 168,105,275,549,293 with Prime Factorization
| 3 | 168, 105, 275, 549, 293 |
| 5 | 56, 35, 275, 183, 293 |
| 7 | 56, 7, 55, 183, 293 |
| 8, 1, 55, 183, 293 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 8 x 1 x 55 x 183 x 293 = 2477197800
Therefore, the lowest common multiple of 168,105,275,549,293 is 2477197800.
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 105 x 275 x 549 x 293 = 780317307000
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
275 : 1, 5, 11, 25, 55, 275
549 : 1, 3, 9, 61, 183, 549
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,105,275,549,293, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
105:3x 5x 7
275:5x 5x 11
549:3x 3x 61
293:293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 780317307000/(1x315)
LCM = 780317307000/315
LCM = 2477197800
Thus, we can understand that the LCM of 168,105,275,549,293 is 2477197800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 168, 105, 275, 549, 293
1. What is the LCM of 168, 105, 275, 549, 293?
Answer: LCM of 168, 105, 275, 549, 293 is 2477197800.
2. How to calculate the LCM of 168, 105, 275, 549, 293?
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, 105, 275, 549, 293.
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}.