Find the LCM of 929, 620, 988, 754, 852 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 929, 620, 988, 754, 852. So, keep reading to learn more.
Given numbers are 929,620,988,754,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,620,988,754,852 is 878783629620.
Find LCM of 929,620,988,754,852 with Prime Factorization
2 | 929, 620, 988, 754, 852 |
2 | 929, 310, 494, 377, 426 |
13 | 929, 155, 247, 377, 213 |
929, 155, 19, 29, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 929 x 155 x 19 x 29 x 213 = 878783629620
Therefore, the lowest common multiple of 929,620,988,754,852 is 878783629620.
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.
929 x 620 x 988 x 754 x 852 = 365573989921920
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.
929 : 1, 929
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
754 : 1, 2, 13, 26, 29, 58, 377, 754
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,620,988,754,852, is 1.
Now, the common factors can be found like this.
929:929
620:2x 2x 5x 31
988:2x 2x 13x 19
754:2x 13x 29
852:2x 2x 3x 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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 365573989921920/(1x416)
LCM = 365573989921920/416
LCM = 878783629620
Thus, we can understand that the LCM of 929,620,988,754,852 is 878783629620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 929, 620, 988, 754, 852?
Answer: LCM of 929, 620, 988, 754, 852 is 878783629620.
2. How to calculate the LCM of 929, 620, 988, 754, 852?
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 929, 620, 988, 754, 852.
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}.