LCM of 326, 724, 763, 181
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 724, 763, 181 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 326, 724, 763, 181. So, keep reading to learn more.
Given numbers are 326,724,763,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,724,763,181 is 90043156.
Find LCM of 326,724,763,181 with Prime Factorization
| 2 | 326, 724, 763, 181 |
| 181 | 163, 362, 763, 181 |
| 163, 2, 763, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 163 x 2 x 763 x 1 = 90043156
Therefore, the lowest common multiple of 326,724,763,181 is 90043156.
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.
326 x 724 x 763 x 181 = 32595622472
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.
326 : 1, 2, 163, 326
724 : 1, 2, 4, 181, 362, 724
763 : 1, 7, 109, 763
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,724,763,181, is 1.
Now, the common factors can be found like this.
326:2x 163
724:2x 2x 181
763:7x 109
181:181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 181 = 362
Therefore, the value for common factors is 362.
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 = 32595622472/(1x362)
LCM = 32595622472/362
LCM = 90043156
Thus, we can understand that the LCM of 326,724,763,181 is 90043156.
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FAQs on LCM of 326, 724, 763, 181
1. What is the LCM of 326, 724, 763, 181?
Answer: LCM of 326, 724, 763, 181 is 90043156.
2. How to calculate the LCM of 326, 724, 763, 181?
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 326, 724, 763, 181.
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}.