LCM of 612, 237, 487, 798, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 237, 487, 798, 608 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, 237, 487, 798, 608. So, keep reading to learn more.
Given numbers are 612,237,487,798,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,237,487,798,608 is 25052386464.
Find LCM of 612,237,487,798,608 with Prime Factorization
| 2 | 612, 237, 487, 798, 608 |
| 2 | 306, 237, 487, 399, 304 |
| 3 | 153, 237, 487, 399, 152 |
| 19 | 51, 79, 487, 133, 152 |
| 51, 79, 487, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 51 x 79 x 487 x 7 x 8 = 25052386464
Therefore, the lowest common multiple of 612,237,487,798,608 is 25052386464.
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 237 x 487 x 798 x 608 = 34271664682752
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
237 : 1, 3, 79, 237
487 : 1, 487
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,237,487,798,608, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
237:3x 79
487:487
798:2x 3x 7x 19
608:2x 2x 2x 2x 2x 19
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 19 = 1368
Therefore, the value for common factors is 1368.
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 = 34271664682752/(1x1368)
LCM = 34271664682752/1368
LCM = 25052386464
Thus, we can understand that the LCM of 612,237,487,798,608 is 25052386464.
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FAQs on LCM of 612, 237, 487, 798, 608
1. What is the LCM of 612, 237, 487, 798, 608?
Answer: LCM of 612, 237, 487, 798, 608 is 25052386464.
2. How to calculate the LCM of 612, 237, 487, 798, 608?
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, 237, 487, 798, 608.
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}.