LCM of 549, 359, 781, 958, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 359, 781, 958, 900 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, 359, 781, 958, 900. So, keep reading to learn more.
Given numbers are 549,359,781,958,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,359,781,958,900 is 7373154600900.
Find LCM of 549,359,781,958,900 with Prime Factorization
| 2 | 549, 359, 781, 958, 900 |
| 3 | 549, 359, 781, 479, 450 |
| 3 | 183, 359, 781, 479, 150 |
| 61, 359, 781, 479, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 61 x 359 x 781 x 479 x 50 = 7373154600900
Therefore, the lowest common multiple of 549,359,781,958,900 is 7373154600900.
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 359 x 781 x 958 x 900 = 132716782816200
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
359 : 1, 359
781 : 1, 11, 71, 781
958 : 1, 2, 479, 958
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,359,781,958,900, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
359:359
781:11x 71
958:2x 479
900:2x 2x 3x 3x 5x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 132716782816200/(1x18)
LCM = 132716782816200/18
LCM = 7373154600900
Thus, we can understand that the LCM of 549,359,781,958,900 is 7373154600900.
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FAQs on LCM of 549, 359, 781, 958, 900
1. What is the LCM of 549, 359, 781, 958, 900?
Answer: LCM of 549, 359, 781, 958, 900 is 7373154600900.
2. How to calculate the LCM of 549, 359, 781, 958, 900?
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, 359, 781, 958, 900.
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}.