Find the LCM of 613, 755, 660, 613, 942 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 613, 755, 660, 613, 942. So, keep reading to learn more.
Given numbers are 613,755,660,613,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,755,660,613,942 is 9591378060.
Find LCM of 613,755,660,613,942 with Prime Factorization
2 | 613, 755, 660, 613, 942 |
3 | 613, 755, 330, 613, 471 |
5 | 613, 755, 110, 613, 157 |
613 | 613, 151, 22, 613, 157 |
1, 151, 22, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 613 x 1 x 151 x 22 x 1 x 157 = 9591378060
Therefore, the lowest common multiple of 613,755,660,613,942 is 9591378060.
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.
613 x 755 x 660 x 613 x 942 = 176385442523400
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.
613 : 1, 613
755 : 1, 5, 151, 755
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
613 : 1, 613
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,755,660,613,942, is 1.
Now, the common factors can be found like this.
613:613
755:5x 151
660:2x 2x 3x 5x 11
613:613
942:2x 3x 157
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 5x 613 = 18390
Therefore, the value for common factors is 18390.
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 = 176385442523400/(1x18390)
LCM = 176385442523400/18390
LCM = 9591378060
Thus, we can understand that the LCM of 613,755,660,613,942 is 9591378060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 613, 755, 660, 613, 942?
Answer: LCM of 613, 755, 660, 613, 942 is 9591378060.
2. How to calculate the LCM of 613, 755, 660, 613, 942?
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 613, 755, 660, 613, 942.
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}.