LCM of 773, 949, 362, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 949, 362, 438 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 773, 949, 362, 438. So, keep reading to learn more.
Given numbers are 773,949,362,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,949,362,438 is 796664622.
Find LCM of 773,949,362,438 with Prime Factorization
| 2 | 773, 949, 362, 438 |
| 73 | 773, 949, 181, 219 |
| 773, 13, 181, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 773 x 13 x 181 x 3 = 796664622
Therefore, the lowest common multiple of 773,949,362,438 is 796664622.
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.
773 x 949 x 362 x 438 = 116313034812
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.
773 : 1, 773
949 : 1, 13, 73, 949
362 : 1, 2, 181, 362
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,949,362,438, is 1.
Now, the common factors can be found like this.
773:773
949:13x 73
362:2x 181
438:2x 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.
2x 73 = 146
Therefore, the value for common factors is 146.
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 = 116313034812/(1x146)
LCM = 116313034812/146
LCM = 796664622
Thus, we can understand that the LCM of 773,949,362,438 is 796664622.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 773, 949, 362, 438
1. What is the LCM of 773, 949, 362, 438?
Answer: LCM of 773, 949, 362, 438 is 796664622.
2. How to calculate the LCM of 773, 949, 362, 438?
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 773, 949, 362, 438.
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}.