Find the LCM of 620, 713, 868, 238, 142 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 620, 713, 868, 238, 142. So, keep reading to learn more.
Given numbers are 620,713,868,238,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,713,868,238,142 is 120482740.
Find LCM of 620,713,868,238,142 with Prime Factorization
2 | 620, 713, 868, 238, 142 |
2 | 310, 713, 434, 119, 71 |
7 | 155, 713, 217, 119, 71 |
31 | 155, 713, 31, 17, 71 |
5, 23, 1, 17, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 31 x 5 x 23 x 1 x 17 x 71 = 120482740
Therefore, the lowest common multiple of 620,713,868,238,142 is 120482740.
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.
620 x 713 x 868 x 238 x 142 = 12967798271680
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
713 : 1, 23, 31, 713
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
238 : 1, 2, 7, 14, 17, 34, 119, 238
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,713,868,238,142, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
713:23x 31
868:2x 2x 7x 31
238:2x 7x 17
142:2x 71
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 2x 7x 31x 31 = 107632
Therefore, the value for common factors is 107632.
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 = 12967798271680/(1x107632)
LCM = 12967798271680/107632
LCM = 120482740
Thus, we can understand that the LCM of 620,713,868,238,142 is 120482740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 713, 868, 238, 142?
Answer: LCM of 620, 713, 868, 238, 142 is 120482740.
2. How to calculate the LCM of 620, 713, 868, 238, 142?
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 620, 713, 868, 238, 142.
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}.