LCM of 433, 960, 770, 196, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 960, 770, 196, 112 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 433, 960, 770, 196, 112. So, keep reading to learn more.
Given numbers are 433,960,770,196,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,960,770,196,112 is 224051520.
Find LCM of 433,960,770,196,112 with Prime Factorization
| 2 | 433, 960, 770, 196, 112 |
| 2 | 433, 480, 385, 98, 56 |
| 2 | 433, 240, 385, 49, 28 |
| 2 | 433, 120, 385, 49, 14 |
| 5 | 433, 60, 385, 49, 7 |
| 7 | 433, 12, 77, 49, 7 |
| 433, 12, 11, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 433 x 12 x 11 x 1 x 7 = 224051520
Therefore, the lowest common multiple of 433,960,770,196,112 is 224051520.
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.
433 x 960 x 770 x 196 x 112 = 7026255667200
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.
433 : 1, 433
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,960,770,196,112, is 1.
Now, the common factors can be found like this.
433:433
960:2x 2x 2x 2x 2x 2x 3x 5
770:2x 5x 7x 11
196:2x 2x 7x 7
112:2x 2x 2x 2x 7
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 2x 2x 2x 2x 2x 5x 7x 7 = 31360
Therefore, the value for common factors is 31360.
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 = 7026255667200/(1x31360)
LCM = 7026255667200/31360
LCM = 224051520
Thus, we can understand that the LCM of 433,960,770,196,112 is 224051520.
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FAQs on LCM of 433, 960, 770, 196, 112
1. What is the LCM of 433, 960, 770, 196, 112?
Answer: LCM of 433, 960, 770, 196, 112 is 224051520.
2. How to calculate the LCM of 433, 960, 770, 196, 112?
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 433, 960, 770, 196, 112.
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}.