LCM of 252, 676, 741, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 676, 741, 611 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 252, 676, 741, 611. So, keep reading to learn more.
Given numbers are 252,676,741,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,676,741,611 is 38031084.
Find LCM of 252,676,741,611 with Prime Factorization
| 2 | 252, 676, 741, 611 |
| 2 | 126, 338, 741, 611 |
| 3 | 63, 169, 741, 611 |
| 13 | 21, 169, 247, 611 |
| 21, 13, 19, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 21 x 13 x 19 x 47 = 38031084
Therefore, the lowest common multiple of 252,676,741,611 is 38031084.
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.
252 x 676 x 741 x 611 = 77127038352
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
741 : 1, 3, 13, 19, 39, 57, 247, 741
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,676,741,611, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
676:2x 2x 13x 13
741:3x 13x 19
611:13x 47
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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 77127038352/(1x2028)
LCM = 77127038352/2028
LCM = 38031084
Thus, we can understand that the LCM of 252,676,741,611 is 38031084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 252, 676, 741, 611
1. What is the LCM of 252, 676, 741, 611?
Answer: LCM of 252, 676, 741, 611 is 38031084.
2. How to calculate the LCM of 252, 676, 741, 611?
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 252, 676, 741, 611.
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}.