LCM of 558, 549, 302, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 549, 302, 270 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 558, 549, 302, 270. So, keep reading to learn more.
Given numbers are 558,549,302,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,549,302,270 is 77096070.
Find LCM of 558,549,302,270 with Prime Factorization
| 2 | 558, 549, 302, 270 |
| 3 | 279, 549, 151, 135 |
| 3 | 93, 183, 151, 45 |
| 31, 61, 151, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 61 x 151 x 15 = 77096070
Therefore, the lowest common multiple of 558,549,302,270 is 77096070.
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.
558 x 549 x 302 x 270 = 24979126680
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
549 : 1, 3, 9, 61, 183, 549
302 : 1, 2, 151, 302
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,549,302,270, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
549:3x 3x 61
302:2x 151
270:2x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 24979126680/(1x324)
LCM = 24979126680/324
LCM = 77096070
Thus, we can understand that the LCM of 558,549,302,270 is 77096070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 558, 549, 302, 270
1. What is the LCM of 558, 549, 302, 270?
Answer: LCM of 558, 549, 302, 270 is 77096070.
2. How to calculate the LCM of 558, 549, 302, 270?
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 558, 549, 302, 270.
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}.