LCM of 433, 735, 882, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 735, 882, 762 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, 735, 882, 762. So, keep reading to learn more.
Given numbers are 433,735,882,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,735,882,762 is 242510310.
Find LCM of 433,735,882,762 with Prime Factorization
| 2 | 433, 735, 882, 762 |
| 3 | 433, 735, 441, 381 |
| 7 | 433, 245, 147, 127 |
| 7 | 433, 35, 21, 127 |
| 433, 5, 3, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 433 x 5 x 3 x 127 = 242510310
Therefore, the lowest common multiple of 433,735,882,762 is 242510310.
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 735 x 882 x 762 = 213894093420
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,735,882,762, is 1.
Now, the common factors can be found like this.
433:433
735:3x 5x 7x 7
882:2x 3x 3x 7x 7
762:2x 3x 127
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 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 213894093420/(1x882)
LCM = 213894093420/882
LCM = 242510310
Thus, we can understand that the LCM of 433,735,882,762 is 242510310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 433, 735, 882, 762
1. What is the LCM of 433, 735, 882, 762?
Answer: LCM of 433, 735, 882, 762 is 242510310.
2. How to calculate the LCM of 433, 735, 882, 762?
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, 735, 882, 762.
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}.