LCM of 523, 785, 629, 942, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 785, 629, 942, 274 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 523, 785, 629, 942, 274. So, keep reading to learn more.
Given numbers are 523,785,629,942,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,785,629,942,274 is 212272536090.
Find LCM of 523,785,629,942,274 with Prime Factorization
| 2 | 523, 785, 629, 942, 274 |
| 157 | 523, 785, 629, 471, 137 |
| 523, 5, 629, 3, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 523 x 5 x 629 x 3 x 137 = 212272536090
Therefore, the lowest common multiple of 523,785,629,942,274 is 212272536090.
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.
523 x 785 x 629 x 942 x 274 = 66653576332260
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.
523 : 1, 523
785 : 1, 5, 157, 785
629 : 1, 17, 37, 629
942 : 1, 2, 3, 6, 157, 314, 471, 942
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,785,629,942,274, is 1.
Now, the common factors can be found like this.
523:523
785:5x 157
629:17x 37
942:2x 3x 157
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 157 = 314
Therefore, the value for common factors is 314.
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 = 66653576332260/(1x314)
LCM = 66653576332260/314
LCM = 212272536090
Thus, we can understand that the LCM of 523,785,629,942,274 is 212272536090.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 523, 785, 629, 942, 274
1. What is the LCM of 523, 785, 629, 942, 274?
Answer: LCM of 523, 785, 629, 942, 274 is 212272536090.
2. How to calculate the LCM of 523, 785, 629, 942, 274?
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 523, 785, 629, 942, 274.
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}.