LCM of 223, 314, 942, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 314, 942, 450 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 223, 314, 942, 450. So, keep reading to learn more.
Given numbers are 223,314,942,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,314,942,450 is 15754950.
Find LCM of 223,314,942,450 with Prime Factorization
| 2 | 223, 314, 942, 450 |
| 3 | 223, 157, 471, 225 |
| 157 | 223, 157, 157, 75 |
| 223, 1, 1, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 223 x 1 x 1 x 75 = 15754950
Therefore, the lowest common multiple of 223,314,942,450 is 15754950.
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.
223 x 314 x 942 x 450 = 29682325800
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.
223 : 1, 223
314 : 1, 2, 157, 314
942 : 1, 2, 3, 6, 157, 314, 471, 942
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,314,942,450, is 1.
Now, the common factors can be found like this.
223:223
314:2x 157
942:2x 3x 157
450:2x 3x 3x 5x 5
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 3x 157 = 1884
Therefore, the value for common factors is 1884.
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 = 29682325800/(1x1884)
LCM = 29682325800/1884
LCM = 15754950
Thus, we can understand that the LCM of 223,314,942,450 is 15754950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 223, 314, 942, 450
1. What is the LCM of 223, 314, 942, 450?
Answer: LCM of 223, 314, 942, 450 is 15754950.
2. How to calculate the LCM of 223, 314, 942, 450?
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 223, 314, 942, 450.
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}.