LCM of 942, 209, 452, 791, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 209, 452, 791, 652 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 942, 209, 452, 791, 652. So, keep reading to learn more.
Given numbers are 942,209,452,791,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,209,452,791,652 is 50768142348.
Find LCM of 942,209,452,791,652 with Prime Factorization
| 2 | 942, 209, 452, 791, 652 |
| 2 | 471, 209, 226, 791, 326 |
| 113 | 471, 209, 113, 791, 163 |
| 471, 209, 1, 7, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 471 x 209 x 1 x 7 x 163 = 50768142348
Therefore, the lowest common multiple of 942,209,452,791,652 is 50768142348.
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.
942 x 209 x 452 x 791 x 652 = 45894400682592
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
209 : 1, 11, 19, 209
452 : 1, 2, 4, 113, 226, 452
791 : 1, 7, 113, 791
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,209,452,791,652, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
209:11x 19
452:2x 2x 113
791:7x 113
652:2x 2x 163
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 113 = 904
Therefore, the value for common factors is 904.
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 = 45894400682592/(1x904)
LCM = 45894400682592/904
LCM = 50768142348
Thus, we can understand that the LCM of 942,209,452,791,652 is 50768142348.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 942, 209, 452, 791, 652
1. What is the LCM of 942, 209, 452, 791, 652?
Answer: LCM of 942, 209, 452, 791, 652 is 50768142348.
2. How to calculate the LCM of 942, 209, 452, 791, 652?
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 942, 209, 452, 791, 652.
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}.