LCM of 649, 550, 319, 561, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 550, 319, 561, 891 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, 550, 319, 561, 891. So, keep reading to learn more.
Given numbers are 649,550,319,561,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,550,319,561,891 is 1295825850.
Find LCM of 649,550,319,561,891 with Prime Factorization
| 3 | 649, 550, 319, 561, 891 |
| 11 | 649, 550, 319, 187, 297 |
| 59, 50, 29, 17, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 59 x 50 x 29 x 17 x 27 = 1295825850
Therefore, the lowest common multiple of 649,550,319,561,891 is 1295825850.
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 550 x 319 x 561 x 891 = 56916558809550
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
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
319 : 1, 11, 29, 319
561 : 1, 3, 11, 17, 33, 51, 187, 561
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,550,319,561,891, is 11.
Now, the common factors can be found like this.
649:11x 59
550:2x 5x 5x 11
319:11x 29
561:3x 11x 17
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 11 = 3993
Therefore, the value for common factors is 3993.
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 = 56916558809550/(11x3993)
LCM = 56916558809550/43923
LCM = 1295825850
Thus, we can understand that the LCM of 649,550,319,561,891 is 1295825850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 550, 319, 561, 891
1. What is the LCM of 649, 550, 319, 561, 891?
Answer: LCM of 649, 550, 319, 561, 891 is 1295825850.
2. How to calculate the LCM of 649, 550, 319, 561, 891?
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, 550, 319, 561, 891.
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}.