Find the LCM of 153, 136, 613, 713 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 153, 136, 613, 713. So, keep reading to learn more.
Given numbers are 153,136,613,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,136,613,713 is 534972456.
Find LCM of 153,136,613,713 with Prime Factorization
17 | 153, 136, 613, 713 |
9, 8, 613, 713 |
Multiply the prime numbers at the bottom and the left side.
17 x 9 x 8 x 613 x 713 = 534972456
Therefore, the lowest common multiple of 153,136,613,713 is 534972456.
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.
153 x 136 x 613 x 713 = 9094531752
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.
153 : 1, 3, 9, 17, 51, 153
136 : 1, 2, 4, 8, 17, 34, 68, 136
613 : 1, 613
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,136,613,713, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
136:2x 2x 2x 17
613:613
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 9094531752/(1x17)
LCM = 9094531752/17
LCM = 534972456
Thus, we can understand that the LCM of 153,136,613,713 is 534972456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 136, 613, 713?
Answer: LCM of 153, 136, 613, 713 is 534972456.
2. How to calculate the LCM of 153, 136, 613, 713?
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 153, 136, 613, 713.
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}.