LCM of 646, 563, 549, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 563, 549, 563 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 646, 563, 549, 563. So, keep reading to learn more.
Given numbers are 646,563,549,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,563,549,563 is 199670202.
Find LCM of 646,563,549,563 with Prime Factorization
| 563 | 646, 563, 549, 563 |
| 646, 1, 549, 1 |
Multiply the prime numbers at the bottom and the left side.
563 x 646 x 1 x 549 x 1 = 199670202
Therefore, the lowest common multiple of 646,563,549,563 is 199670202.
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.
646 x 563 x 549 x 563 = 112414323726
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
563 : 1, 563
549 : 1, 3, 9, 61, 183, 549
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,563,549,563, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
563:563
549:3x 3x 61
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
563 = 563
Therefore, the value for common factors is 563.
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 = 112414323726/(1x563)
LCM = 112414323726/563
LCM = 199670202
Thus, we can understand that the LCM of 646,563,549,563 is 199670202.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 646, 563, 549, 563
1. What is the LCM of 646, 563, 549, 563?
Answer: LCM of 646, 563, 549, 563 is 199670202.
2. How to calculate the LCM of 646, 563, 549, 563?
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 646, 563, 549, 563.
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}.