LCM of 549, 945, 312, 667, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 945, 312, 667, 805 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, 945, 312, 667, 805. So, keep reading to learn more.
Given numbers are 549,945,312,667,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,945,312,667,805 is 3998718360.
Find LCM of 549,945,312,667,805 with Prime Factorization
| 3 | 549, 945, 312, 667, 805 |
| 3 | 183, 315, 104, 667, 805 |
| 5 | 61, 105, 104, 667, 805 |
| 7 | 61, 21, 104, 667, 161 |
| 23 | 61, 3, 104, 667, 23 |
| 61, 3, 104, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 23 x 61 x 3 x 104 x 29 x 1 = 3998718360
Therefore, the lowest common multiple of 549,945,312,667,805 is 3998718360.
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 945 x 312 x 667 x 805 = 86912143554600
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
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
667 : 1, 23, 29, 667
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,945,312,667,805, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
945:3x 3x 3x 5x 7
312:2x 2x 2x 3x 13
667:23x 29
805:5x 7x 23
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 3x 5x 7x 23 = 21735
Therefore, the value for common factors is 21735.
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 = 86912143554600/(1x21735)
LCM = 86912143554600/21735
LCM = 3998718360
Thus, we can understand that the LCM of 549,945,312,667,805 is 3998718360.
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FAQs on LCM of 549, 945, 312, 667, 805
1. What is the LCM of 549, 945, 312, 667, 805?
Answer: LCM of 549, 945, 312, 667, 805 is 3998718360.
2. How to calculate the LCM of 549, 945, 312, 667, 805?
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, 945, 312, 667, 805.
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}.