LCM of 549, 872, 144, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 872, 144, 628 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 549, 872, 144, 628. So, keep reading to learn more.
Given numbers are 549,872,144,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,872,144,628 is 150320592.
Find LCM of 549,872,144,628 with Prime Factorization
| 2 | 549, 872, 144, 628 |
| 2 | 549, 436, 72, 314 |
| 2 | 549, 218, 36, 157 |
| 3 | 549, 109, 18, 157 |
| 3 | 183, 109, 6, 157 |
| 61, 109, 2, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 61 x 109 x 2 x 157 = 150320592
Therefore, the lowest common multiple of 549,872,144,628 is 150320592.
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.
549 x 872 x 144 x 628 = 43292330496
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.
549 : 1, 3, 9, 61, 183, 549
872 : 1, 2, 4, 8, 109, 218, 436, 872
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,872,144,628, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
872:2x 2x 2x 109
144:2x 2x 2x 2x 3x 3
628:2x 2x 157
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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 43292330496/(1x288)
LCM = 43292330496/288
LCM = 150320592
Thus, we can understand that the LCM of 549,872,144,628 is 150320592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 872, 144, 628
1. What is the LCM of 549, 872, 144, 628?
Answer: LCM of 549, 872, 144, 628 is 150320592.
2. How to calculate the LCM of 549, 872, 144, 628?
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 549, 872, 144, 628.
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}.