LCM of 676, 104, 181, 524, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 104, 181, 524, 543 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 676, 104, 181, 524, 543. So, keep reading to learn more.
Given numbers are 676,104,181,524,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,104,181,524,543 is 96171816.
Find LCM of 676,104,181,524,543 with Prime Factorization
| 2 | 676, 104, 181, 524, 543 |
| 2 | 338, 52, 181, 262, 543 |
| 13 | 169, 26, 181, 131, 543 |
| 181 | 13, 2, 181, 131, 543 |
| 13, 2, 1, 131, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 181 x 13 x 2 x 1 x 131 x 3 = 96171816
Therefore, the lowest common multiple of 676,104,181,524,543 is 96171816.
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.
676 x 104 x 181 x 524 x 543 = 3620676528768
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
104 : 1, 2, 4, 8, 13, 26, 52, 104
181 : 1, 181
524 : 1, 2, 4, 131, 262, 524
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,104,181,524,543, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
104:2x 2x 2x 13
181:181
524:2x 2x 131
543:3x 181
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 2x 13x 181 = 37648
Therefore, the value for common factors is 37648.
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 = 3620676528768/(1x37648)
LCM = 3620676528768/37648
LCM = 96171816
Thus, we can understand that the LCM of 676,104,181,524,543 is 96171816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 104, 181, 524, 543
1. What is the LCM of 676, 104, 181, 524, 543?
Answer: LCM of 676, 104, 181, 524, 543 is 96171816.
2. How to calculate the LCM of 676, 104, 181, 524, 543?
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 676, 104, 181, 524, 543.
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}.