LCM of 649, 657, 949, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 657, 949, 219 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 649, 657, 949, 219. So, keep reading to learn more.
Given numbers are 649,657,949,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,657,949,219 is 5543109.
Find LCM of 649,657,949,219 with Prime Factorization
| 3 | 649, 657, 949, 219 |
| 73 | 649, 219, 949, 73 |
| 649, 3, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 649 x 3 x 13 x 1 = 5543109
Therefore, the lowest common multiple of 649,657,949,219 is 5543109.
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.
649 x 657 x 949 x 219 = 88617683583
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.
649 : 1, 11, 59, 649
657 : 1, 3, 9, 73, 219, 657
949 : 1, 13, 73, 949
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,657,949,219, is 1.
Now, the common factors can be found like this.
649:11x 59
657:3x 3x 73
949:13x 73
219:3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 73x 73 = 15987
Therefore, the value for common factors is 15987.
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 = 88617683583/(1x15987)
LCM = 88617683583/15987
LCM = 5543109
Thus, we can understand that the LCM of 649,657,949,219 is 5543109.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 657, 949, 219
1. What is the LCM of 649, 657, 949, 219?
Answer: LCM of 649, 657, 949, 219 is 5543109.
2. How to calculate the LCM of 649, 657, 949, 219?
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 649, 657, 949, 219.
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}.