LCM of 726, 440, 759, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 440, 759, 489 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 726, 440, 759, 489. So, keep reading to learn more.
Given numbers are 726,440,759,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,440,759,489 is 54435480.
Find LCM of 726,440,759,489 with Prime Factorization
| 2 | 726, 440, 759, 489 |
| 3 | 363, 220, 759, 489 |
| 11 | 121, 220, 253, 163 |
| 11, 20, 23, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 20 x 23 x 163 = 54435480
Therefore, the lowest common multiple of 726,440,759,489 is 54435480.
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.
726 x 440 x 759 x 489 = 118560475440
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
759 : 1, 3, 11, 23, 33, 69, 253, 759
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,440,759,489, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
440:2x 2x 2x 5x 11
759:3x 11x 23
489:3x 163
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 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 118560475440/(1x2178)
LCM = 118560475440/2178
LCM = 54435480
Thus, we can understand that the LCM of 726,440,759,489 is 54435480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 726, 440, 759, 489
1. What is the LCM of 726, 440, 759, 489?
Answer: LCM of 726, 440, 759, 489 is 54435480.
2. How to calculate the LCM of 726, 440, 759, 489?
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 726, 440, 759, 489.
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}.