LCM of 909, 746, 362, 724, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 746, 362, 724, 327 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 909, 746, 362, 724, 327. So, keep reading to learn more.
Given numbers are 909,746,362,724,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,746,362,724,327 is 26757022212.
Find LCM of 909,746,362,724,327 with Prime Factorization
| 2 | 909, 746, 362, 724, 327 |
| 3 | 909, 373, 181, 362, 327 |
| 181 | 303, 373, 181, 362, 109 |
| 303, 373, 1, 2, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 303 x 373 x 1 x 2 x 109 = 26757022212
Therefore, the lowest common multiple of 909,746,362,724,327 is 26757022212.
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.
909 x 746 x 362 x 724 x 327 = 58116252244464
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.
909 : 1, 3, 9, 101, 303, 909
746 : 1, 2, 373, 746
362 : 1, 2, 181, 362
724 : 1, 2, 4, 181, 362, 724
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,746,362,724,327, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
746:2x 373
362:2x 181
724:2x 2x 181
327:3x 109
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 3x 181 = 2172
Therefore, the value for common factors is 2172.
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 = 58116252244464/(1x2172)
LCM = 58116252244464/2172
LCM = 26757022212
Thus, we can understand that the LCM of 909,746,362,724,327 is 26757022212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 746, 362, 724, 327
1. What is the LCM of 909, 746, 362, 724, 327?
Answer: LCM of 909, 746, 362, 724, 327 is 26757022212.
2. How to calculate the LCM of 909, 746, 362, 724, 327?
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 909, 746, 362, 724, 327.
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}.