LCM of 143, 561, 234, 676, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 561, 234, 676, 804 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 143, 561, 234, 676, 804. So, keep reading to learn more.
Given numbers are 143,561,234,676,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,561,234,676,804 is 76226436.
Find LCM of 143,561,234,676,804 with Prime Factorization
| 2 | 143, 561, 234, 676, 804 |
| 2 | 143, 561, 117, 338, 402 |
| 3 | 143, 561, 117, 169, 201 |
| 11 | 143, 187, 39, 169, 67 |
| 13 | 13, 17, 39, 169, 67 |
| 1, 17, 3, 13, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 1 x 17 x 3 x 13 x 67 = 76226436
Therefore, the lowest common multiple of 143,561,234,676,804 is 76226436.
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.
143 x 561 x 234 x 676 x 804 = 10202756005728
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.
143 : 1, 11, 13, 143
561 : 1, 3, 11, 17, 33, 51, 187, 561
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,561,234,676,804, is 1.
Now, the common factors can be found like this.
143:11x 13
561:3x 11x 17
234:2x 3x 3x 13
676:2x 2x 13x 13
804:2x 2x 3x 67
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 3x 3x 11x 13x 13 = 133848
Therefore, the value for common factors is 133848.
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 = 10202756005728/(1x133848)
LCM = 10202756005728/133848
LCM = 76226436
Thus, we can understand that the LCM of 143,561,234,676,804 is 76226436.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 143, 561, 234, 676, 804
1. What is the LCM of 143, 561, 234, 676, 804?
Answer: LCM of 143, 561, 234, 676, 804 is 76226436.
2. How to calculate the LCM of 143, 561, 234, 676, 804?
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 143, 561, 234, 676, 804.
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}.