LCM of 630, 609, 548, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 609, 548, 822 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 630, 609, 548, 822. So, keep reading to learn more.
Given numbers are 630,609,548,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,609,548,822 is 5005980.
Find LCM of 630,609,548,822 with Prime Factorization
| 2 | 630, 609, 548, 822 |
| 3 | 315, 609, 274, 411 |
| 7 | 105, 203, 274, 137 |
| 137 | 15, 29, 274, 137 |
| 15, 29, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 137 x 15 x 29 x 2 x 1 = 5005980
Therefore, the lowest common multiple of 630,609,548,822 is 5005980.
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.
630 x 609 x 548 x 822 = 172826453520
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
609 : 1, 3, 7, 21, 29, 87, 203, 609
548 : 1, 2, 4, 137, 274, 548
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,609,548,822, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
609:3x 7x 29
548:2x 2x 137
822:2x 3x 137
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 7x 137 = 34524
Therefore, the value for common factors is 34524.
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 = 172826453520/(1x34524)
LCM = 172826453520/34524
LCM = 5005980
Thus, we can understand that the LCM of 630,609,548,822 is 5005980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 630, 609, 548, 822
1. What is the LCM of 630, 609, 548, 822?
Answer: LCM of 630, 609, 548, 822 is 5005980.
2. How to calculate the LCM of 630, 609, 548, 822?
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 630, 609, 548, 822.
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}.