LCM of 643, 824, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 824, 578 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 643, 824, 578. So, keep reading to learn more.
Given numbers are 643,824,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,824,578 is 153121448.
Find LCM of 643,824,578 with Prime Factorization
| 2 | 643, 824, 578 |
| 643, 412, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 643 x 412 x 289 = 153121448
Therefore, the lowest common multiple of 643,824,578 is 153121448.
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.
643 x 824 x 578 = 306242896
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.
643 : 1, 643
824 : 1, 2, 4, 8, 103, 206, 412, 824
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,824,578, is 1.
Now, the common factors can be found like this.
643:643
824:2x 2x 2x 103
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 306242896/(1x2)
LCM = 306242896/2
LCM = 153121448
Thus, we can understand that the LCM of 643,824,578 is 153121448.
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FAQs on LCM of 643, 824, 578
1. What is the LCM of 643, 824, 578?
Answer: LCM of 643, 824, 578 is 153121448.
2. How to calculate the LCM of 643, 824, 578?
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 643, 824, 578.
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}.