Find the LCM of 721, 440, 722, 266, 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 721, 440, 722, 266, 489. So, keep reading to learn more.
Given numbers are 721,440,722,266,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,440,722,266,489 is 56002059960.
Find LCM of 721,440,722,266,489 with Prime Factorization
2 | 721, 440, 722, 266, 489 |
7 | 721, 220, 361, 133, 489 |
19 | 103, 220, 361, 19, 489 |
103, 220, 1, 19, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 103 x 220 x 1 x 19 x 489 = 56002059960
Therefore, the lowest common multiple of 721,440,722,266,489 is 56002059960.
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.
721 x 440 x 722 x 266 x 489 = 29793095898720
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.
721 : 1, 7, 103, 721
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
722 : 1, 2, 19, 38, 361, 722
266 : 1, 2, 7, 14, 19, 38, 133, 266
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,440,722,266,489, is 1.
Now, the common factors can be found like this.
721:7x 103
440:2x 2x 2x 5x 11
722:2x 19x 19
266:2x 7x 19
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 2x 7x 19 = 532
Therefore, the value for common factors is 532.
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 = 29793095898720/(1x532)
LCM = 29793095898720/532
LCM = 56002059960
Thus, we can understand that the LCM of 721,440,722,266,489 is 56002059960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 440, 722, 266, 489?
Answer: LCM of 721, 440, 722, 266, 489 is 56002059960.
2. How to calculate the LCM of 721, 440, 722, 266, 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 721, 440, 722, 266, 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}.