LCM of 803, 225, 942, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 225, 942, 314 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 803, 225, 942, 314. So, keep reading to learn more.
Given numbers are 803,225,942,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,225,942,314 is 56731950.
Find LCM of 803,225,942,314 with Prime Factorization
| 2 | 803, 225, 942, 314 |
| 3 | 803, 225, 471, 157 |
| 157 | 803, 75, 157, 157 |
| 803, 75, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 803 x 75 x 1 x 1 = 56731950
Therefore, the lowest common multiple of 803,225,942,314 is 56731950.
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.
803 x 225 x 942 x 314 = 53441496900
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.
803 : 1, 11, 73, 803
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
942 : 1, 2, 3, 6, 157, 314, 471, 942
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,225,942,314, is 1.
Now, the common factors can be found like this.
803:11x 73
225:3x 3x 5x 5
942:2x 3x 157
314:2x 157
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 157 = 942
Therefore, the value for common factors is 942.
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 = 53441496900/(1x942)
LCM = 53441496900/942
LCM = 56731950
Thus, we can understand that the LCM of 803,225,942,314 is 56731950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 225, 942, 314
1. What is the LCM of 803, 225, 942, 314?
Answer: LCM of 803, 225, 942, 314 is 56731950.
2. How to calculate the LCM of 803, 225, 942, 314?
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 803, 225, 942, 314.
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}.