LCM of 612, 839, 273, 630, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 839, 273, 630, 884 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 612, 839, 273, 630, 884. So, keep reading to learn more.
Given numbers are 612,839,273,630,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,839,273,630,884 is 233627940.
Find LCM of 612,839,273,630,884 with Prime Factorization
| 2 | 612, 839, 273, 630, 884 |
| 2 | 306, 839, 273, 315, 442 |
| 3 | 153, 839, 273, 315, 221 |
| 3 | 51, 839, 91, 105, 221 |
| 7 | 17, 839, 91, 35, 221 |
| 13 | 17, 839, 13, 5, 221 |
| 17 | 17, 839, 1, 5, 17 |
| 1, 839, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 17 x 1 x 839 x 1 x 5 x 1 = 233627940
Therefore, the lowest common multiple of 612,839,273,630,884 is 233627940.
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.
612 x 839 x 273 x 630 x 884 = 78067243406880
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
839 : 1, 839
273 : 1, 3, 7, 13, 21, 39, 91, 273
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,839,273,630,884, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
839:839
273:3x 7x 13
630:2x 3x 3x 5x 7
884:2x 2x 13x 17
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 3x 3x 3x 7x 13x 17 = 334152
Therefore, the value for common factors is 334152.
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 = 78067243406880/(1x334152)
LCM = 78067243406880/334152
LCM = 233627940
Thus, we can understand that the LCM of 612,839,273,630,884 is 233627940.
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FAQs on LCM of 612, 839, 273, 630, 884
1. What is the LCM of 612, 839, 273, 630, 884?
Answer: LCM of 612, 839, 273, 630, 884 is 233627940.
2. How to calculate the LCM of 612, 839, 273, 630, 884?
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 612, 839, 273, 630, 884.
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}.