Find the LCM of 275, 319, 649, 289, 946 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 275, 319, 649, 289, 946. So, keep reading to learn more.
Given numbers are 275,319,649,289,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,319,649,289,946 is 11694428350.
Find LCM of 275,319,649,289,946 with Prime Factorization
11 | 275, 319, 649, 289, 946 |
25, 29, 59, 289, 86 |
Multiply the prime numbers at the bottom and the left side.
11 x 25 x 29 x 59 x 289 x 86 = 11694428350
Therefore, the lowest common multiple of 275,319,649,289,946 is 11694428350.
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.
275 x 319 x 649 x 289 x 946 = 15565284133850
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.
275 : 1, 5, 11, 25, 55, 275
319 : 1, 11, 29, 319
649 : 1, 11, 59, 649
289 : 1, 17, 289
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,319,649,289,946, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
319:11x 29
649:11x 59
289:17x 17
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 11 = 1331
Therefore, the value for common factors is 1331.
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 = 15565284133850/(1x1331)
LCM = 15565284133850/1331
LCM = 11694428350
Thus, we can understand that the LCM of 275,319,649,289,946 is 11694428350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 275, 319, 649, 289, 946?
Answer: LCM of 275, 319, 649, 289, 946 is 11694428350.
2. How to calculate the LCM of 275, 319, 649, 289, 946?
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 275, 319, 649, 289, 946.
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}.