Find the LCM of 552, 121, 417, 278 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 552, 121, 417, 278. So, keep reading to learn more.
Given numbers are 552,121,417,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,121,417,278 is 9284088.
Find LCM of 552,121,417,278 with Prime Factorization
2 | 552, 121, 417, 278 |
3 | 276, 121, 417, 139 |
139 | 92, 121, 139, 139 |
92, 121, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 92 x 121 x 1 x 1 = 9284088
Therefore, the lowest common multiple of 552,121,417,278 is 9284088.
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.
552 x 121 x 417 x 278 = 7742929392
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
121 : 1, 11, 121
417 : 1, 3, 139, 417
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,121,417,278, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
121:11x 11
417:3x 139
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 139 = 834
Therefore, the value for common factors is 834.
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 = 7742929392/(1x834)
LCM = 7742929392/834
LCM = 9284088
Thus, we can understand that the LCM of 552,121,417,278 is 9284088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 552, 121, 417, 278?
Answer: LCM of 552, 121, 417, 278 is 9284088.
2. How to calculate the LCM of 552, 121, 417, 278?
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 552, 121, 417, 278.
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}.