LCM of 445, 178, 298, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 178, 298, 722 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 445, 178, 298, 722. So, keep reading to learn more.
Given numbers are 445,178,298,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,178,298,722 is 47872210.
Find LCM of 445,178,298,722 with Prime Factorization
| 2 | 445, 178, 298, 722 |
| 89 | 445, 89, 149, 361 |
| 5, 1, 149, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 5 x 1 x 149 x 361 = 47872210
Therefore, the lowest common multiple of 445,178,298,722 is 47872210.
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.
445 x 178 x 298 x 722 = 17042506760
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.
445 : 1, 5, 89, 445
178 : 1, 2, 89, 178
298 : 1, 2, 149, 298
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,178,298,722, is 1.
Now, the common factors can be found like this.
445:5x 89
178:2x 89
298:2x 149
722:2x 19x 19
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 89 = 356
Therefore, the value for common factors is 356.
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 = 17042506760/(1x356)
LCM = 17042506760/356
LCM = 47872210
Thus, we can understand that the LCM of 445,178,298,722 is 47872210.
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FAQs on LCM of 445, 178, 298, 722
1. What is the LCM of 445, 178, 298, 722?
Answer: LCM of 445, 178, 298, 722 is 47872210.
2. How to calculate the LCM of 445, 178, 298, 722?
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 445, 178, 298, 722.
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}.