LCM of 771, 949, 372, 284, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 949, 372, 284, 354 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 771, 949, 372, 284, 354. So, keep reading to learn more.
Given numbers are 771,949,372,284,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,949,372,284,354 is 380060413044.
Find LCM of 771,949,372,284,354 with Prime Factorization
| 2 | 771, 949, 372, 284, 354 |
| 2 | 771, 949, 186, 142, 177 |
| 3 | 771, 949, 93, 71, 177 |
| 257, 949, 31, 71, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 257 x 949 x 31 x 71 x 59 = 380060413044
Therefore, the lowest common multiple of 771,949,372,284,354 is 380060413044.
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.
771 x 949 x 372 x 284 x 354 = 27364349739168
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.
771 : 1, 3, 257, 771
949 : 1, 13, 73, 949
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
284 : 1, 2, 4, 71, 142, 284
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,949,372,284,354, is 1.
Now, the common factors can be found like this.
771:3x 257
949:13x 73
372:2x 2x 3x 31
284:2x 2x 71
354:2x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 27364349739168/(1x72)
LCM = 27364349739168/72
LCM = 380060413044
Thus, we can understand that the LCM of 771,949,372,284,354 is 380060413044.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 771, 949, 372, 284, 354
1. What is the LCM of 771, 949, 372, 284, 354?
Answer: LCM of 771, 949, 372, 284, 354 is 380060413044.
2. How to calculate the LCM of 771, 949, 372, 284, 354?
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 771, 949, 372, 284, 354.
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}.