LCM of 1, 824, 488, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1, 824, 488, 732 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 1, 824, 488, 732. So, keep reading to learn more.
Given numbers are 1,824,488,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1,824,488,732 is 150792.
Find LCM of 1,824,488,732 with Prime Factorization
| 2 | 1, 824, 488, 732 |
| 2 | 1, 412, 244, 366 |
| 2 | 1, 206, 122, 183 |
| 61 | 1, 103, 61, 183 |
| 1, 103, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 61 x 1 x 103 x 1 x 3 = 150792
Therefore, the lowest common multiple of 1,824,488,732 is 150792.
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.
1 x 824 x 488 x 732 = 294345984
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.
1 : 1
824 : 1, 2, 4, 8, 103, 206, 412, 824
488 : 1, 2, 4, 8, 61, 122, 244, 488
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1,824,488,732, is 1.
Now, the common factors can be found like this.
1:
824:2x 2x 2x 103
488:2x 2x 2x 61
732:2x 2x 3x 61
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 2x 61 = 1952
Therefore, the value for common factors is 1952.
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 = 294345984/(1x1952)
LCM = 294345984/1952
LCM = 150792
Thus, we can understand that the LCM of 1,824,488,732 is 150792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 1, 824, 488, 732
1. What is the LCM of 1, 824, 488, 732?
Answer: LCM of 1, 824, 488, 732 is 150792.
2. How to calculate the LCM of 1, 824, 488, 732?
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 1, 824, 488, 732.
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}.