LCM of 727, 362, 724, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 362, 724, 798 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 727, 362, 724, 798. So, keep reading to learn more.
Given numbers are 727,362,724,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,362,724,798 is 210012852.
Find LCM of 727,362,724,798 with Prime Factorization
| 2 | 727, 362, 724, 798 |
| 181 | 727, 181, 362, 399 |
| 727, 1, 2, 399 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 727 x 1 x 2 x 399 = 210012852
Therefore, the lowest common multiple of 727,362,724,798 is 210012852.
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.
727 x 362 x 724 x 798 = 152049304848
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.
727 : 1, 727
362 : 1, 2, 181, 362
724 : 1, 2, 4, 181, 362, 724
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,362,724,798, is 1.
Now, the common factors can be found like this.
727:727
362:2x 181
724:2x 2x 181
798:2x 3x 7x 19
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 181 = 724
Therefore, the value for common factors is 724.
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 = 152049304848/(1x724)
LCM = 152049304848/724
LCM = 210012852
Thus, we can understand that the LCM of 727,362,724,798 is 210012852.
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FAQs on LCM of 727, 362, 724, 798
1. What is the LCM of 727, 362, 724, 798?
Answer: LCM of 727, 362, 724, 798 is 210012852.
2. How to calculate the LCM of 727, 362, 724, 798?
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 727, 362, 724, 798.
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}.