LCM of 296, 486, 432, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 486, 432, 763 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 296, 486, 432, 763. So, keep reading to learn more.
Given numbers are 296,486,432,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,486,432,763 is 109762128.
Find LCM of 296,486,432,763 with Prime Factorization
| 2 | 296, 486, 432, 763 |
| 2 | 148, 243, 216, 763 |
| 2 | 74, 243, 108, 763 |
| 3 | 37, 243, 54, 763 |
| 3 | 37, 81, 18, 763 |
| 3 | 37, 27, 6, 763 |
| 37, 9, 2, 763 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 37 x 9 x 2 x 763 = 109762128
Therefore, the lowest common multiple of 296,486,432,763 is 109762128.
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.
296 x 486 x 432 x 763 = 47417239296
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,486,432,763, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
486:2x 3x 3x 3x 3x 3
432:2x 2x 2x 2x 3x 3x 3
763:7x 109
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 47417239296/(1x432)
LCM = 47417239296/432
LCM = 109762128
Thus, we can understand that the LCM of 296,486,432,763 is 109762128.
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FAQs on LCM of 296, 486, 432, 763
1. What is the LCM of 296, 486, 432, 763?
Answer: LCM of 296, 486, 432, 763 is 109762128.
2. How to calculate the LCM of 296, 486, 432, 763?
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 296, 486, 432, 763.
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}.