LCM of 616, 729, 733, 326, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 729, 733, 326, 892 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 616, 729, 733, 326, 892. So, keep reading to learn more.
Given numbers are 616,729,733,326,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,729,733,326,892 is 11964779037288.
Find LCM of 616,729,733,326,892 with Prime Factorization
| 2 | 616, 729, 733, 326, 892 |
| 2 | 308, 729, 733, 163, 446 |
| 154, 729, 733, 163, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 154 x 729 x 733 x 163 x 223 = 11964779037288
Therefore, the lowest common multiple of 616,729,733,326,892 is 11964779037288.
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.
616 x 729 x 733 x 326 x 892 = 95718232298304
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
729 : 1, 3, 9, 27, 81, 243, 729
733 : 1, 733
326 : 1, 2, 163, 326
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,729,733,326,892, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
729:3x 3x 3x 3x 3x 3
733:733
326:2x 163
892:2x 2x 223
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 2 = 8
Therefore, the value for common factors is 8.
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 = 95718232298304/(1x8)
LCM = 95718232298304/8
LCM = 11964779037288
Thus, we can understand that the LCM of 616,729,733,326,892 is 11964779037288.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 616, 729, 733, 326, 892
1. What is the LCM of 616, 729, 733, 326, 892?
Answer: LCM of 616, 729, 733, 326, 892 is 11964779037288.
2. How to calculate the LCM of 616, 729, 733, 326, 892?
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 616, 729, 733, 326, 892.
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}.