LCM of 762, 459, 340, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 459, 340, 803 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 762, 459, 340, 803. So, keep reading to learn more.
Given numbers are 762,459,340,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,459,340,803 is 936185580.
Find LCM of 762,459,340,803 with Prime Factorization
| 2 | 762, 459, 340, 803 |
| 3 | 381, 459, 170, 803 |
| 17 | 127, 153, 170, 803 |
| 127, 9, 10, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 127 x 9 x 10 x 803 = 936185580
Therefore, the lowest common multiple of 762,459,340,803 is 936185580.
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.
762 x 459 x 340 x 803 = 95490929160
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
459 : 1, 3, 9, 17, 27, 51, 153, 459
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,459,340,803, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
459:3x 3x 3x 17
340:2x 2x 5x 17
803:11x 73
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 17 = 102
Therefore, the value for common factors is 102.
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 = 95490929160/(1x102)
LCM = 95490929160/102
LCM = 936185580
Thus, we can understand that the LCM of 762,459,340,803 is 936185580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 459, 340, 803
1. What is the LCM of 762, 459, 340, 803?
Answer: LCM of 762, 459, 340, 803 is 936185580.
2. How to calculate the LCM of 762, 459, 340, 803?
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 762, 459, 340, 803.
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}.