Find the LCM of 772, 229, 177, 358 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 772, 229, 177, 358. So, keep reading to learn more.
Given numbers are 772,229,177,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,229,177,358 is 5601174204.
Find LCM of 772,229,177,358 with Prime Factorization
2 | 772, 229, 177, 358 |
386, 229, 177, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 386 x 229 x 177 x 179 = 5601174204
Therefore, the lowest common multiple of 772,229,177,358 is 5601174204.
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.
772 x 229 x 177 x 358 = 11202348408
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.
772 : 1, 2, 4, 193, 386, 772
229 : 1, 229
177 : 1, 3, 59, 177
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,229,177,358, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
229:229
177:3x 59
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 11202348408/(1x2)
LCM = 11202348408/2
LCM = 5601174204
Thus, we can understand that the LCM of 772,229,177,358 is 5601174204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 229, 177, 358?
Answer: LCM of 772, 229, 177, 358 is 5601174204.
2. How to calculate the LCM of 772, 229, 177, 358?
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 772, 229, 177, 358.
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}.