Find the LCM of 610, 831, 748, 921, 360 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 610, 831, 748, 921, 360. So, keep reading to learn more.
Given numbers are 610,831,748,921,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 610,831,748,921,360 is 349214354280.
Find LCM of 610,831,748,921,360 with Prime Factorization
2 | 610, 831, 748, 921, 360 |
2 | 305, 831, 374, 921, 180 |
3 | 305, 831, 187, 921, 90 |
5 | 305, 277, 187, 307, 30 |
61, 277, 187, 307, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 277 x 187 x 307 x 6 = 349214354280
Therefore, the lowest common multiple of 610,831,748,921,360 is 349214354280.
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.
610 x 831 x 748 x 921 x 360 = 125717167540800
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.
610 : 1, 2, 5, 10, 61, 122, 305, 610
831 : 1, 3, 277, 831
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
921 : 1, 3, 307, 921
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,831,748,921,360, is 1.
Now, the common factors can be found like this.
610:2x 5x 61
831:3x 277
748:2x 2x 11x 17
921:3x 307
360:2x 2x 2x 3x 3x 5
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 125717167540800/(1x360)
LCM = 125717167540800/360
LCM = 349214354280
Thus, we can understand that the LCM of 610,831,748,921,360 is 349214354280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 610, 831, 748, 921, 360?
Answer: LCM of 610, 831, 748, 921, 360 is 349214354280.
2. How to calculate the LCM of 610, 831, 748, 921, 360?
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 610, 831, 748, 921, 360.
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}.