Find the LCM of 655, 830, 923, 805, 440 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 655, 830, 923, 805, 440. So, keep reading to learn more.
Given numbers are 655,830,923,805,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,830,923,805,440 is 710934584360.
Find LCM of 655,830,923,805,440 with Prime Factorization
2 | 655, 830, 923, 805, 440 |
5 | 655, 415, 923, 805, 220 |
131, 83, 923, 161, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 131 x 83 x 923 x 161 x 44 = 710934584360
Therefore, the lowest common multiple of 655,830,923,805,440 is 710934584360.
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.
655 x 830 x 923 x 805 x 440 = 177733646090000
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.
655 : 1, 5, 131, 655
830 : 1, 2, 5, 10, 83, 166, 415, 830
923 : 1, 13, 71, 923
805 : 1, 5, 7, 23, 35, 115, 161, 805
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,830,923,805,440, is 1.
Now, the common factors can be found like this.
655:5x 131
830:2x 5x 83
923:13x 71
805:5x 7x 23
440:2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 177733646090000/(1x250)
LCM = 177733646090000/250
LCM = 710934584360
Thus, we can understand that the LCM of 655,830,923,805,440 is 710934584360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 830, 923, 805, 440?
Answer: LCM of 655, 830, 923, 805, 440 is 710934584360.
2. How to calculate the LCM of 655, 830, 923, 805, 440?
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 655, 830, 923, 805, 440.
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}.