LCM of 274, 885, 338, 602, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 885, 338, 602, 833 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 274, 885, 338, 602, 833. So, keep reading to learn more.
Given numbers are 274,885,338,602,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,885,338,602,833 is 1467891633390.
Find LCM of 274,885,338,602,833 with Prime Factorization
| 2 | 274, 885, 338, 602, 833 |
| 7 | 137, 885, 169, 301, 833 |
| 137, 885, 169, 43, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 137 x 885 x 169 x 43 x 119 = 1467891633390
Therefore, the lowest common multiple of 274,885,338,602,833 is 1467891633390.
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.
274 x 885 x 338 x 602 x 833 = 41100965734920
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.
274 : 1, 2, 137, 274
885 : 1, 3, 5, 15, 59, 177, 295, 885
338 : 1, 2, 13, 26, 169, 338
602 : 1, 2, 7, 14, 43, 86, 301, 602
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,885,338,602,833, is 1.
Now, the common factors can be found like this.
274:2x 137
885:3x 5x 59
338:2x 13x 13
602:2x 7x 43
833:7x 7x 17
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 7 = 28
Therefore, the value for common factors is 28.
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 = 41100965734920/(1x28)
LCM = 41100965734920/28
LCM = 1467891633390
Thus, we can understand that the LCM of 274,885,338,602,833 is 1467891633390.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 274, 885, 338, 602, 833
1. What is the LCM of 274, 885, 338, 602, 833?
Answer: LCM of 274, 885, 338, 602, 833 is 1467891633390.
2. How to calculate the LCM of 274, 885, 338, 602, 833?
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 274, 885, 338, 602, 833.
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}.