LCM of 362, 412, 232, 116, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 412, 232, 116, 548 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 362, 412, 232, 116, 548. So, keep reading to learn more.
Given numbers are 362,412,232,116,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,412,232,116,548 is 592549112.
Find LCM of 362,412,232,116,548 with Prime Factorization
| 2 | 362, 412, 232, 116, 548 |
| 2 | 181, 206, 116, 58, 274 |
| 29 | 181, 103, 29, 58, 137 |
| 181, 103, 1, 2, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 181 x 103 x 1 x 2 x 137 = 592549112
Therefore, the lowest common multiple of 362,412,232,116,548 is 592549112.
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.
362 x 412 x 232 x 116 x 548 = 2199542303744
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.
362 : 1, 2, 181, 362
412 : 1, 2, 4, 103, 206, 412
232 : 1, 2, 4, 8, 29, 58, 116, 232
116 : 1, 2, 4, 29, 58, 116
548 : 1, 2, 4, 137, 274, 548
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,412,232,116,548, is 2.
Now, the common factors can be found like this.
362:2x 181
412:2x 2x 103
232:2x 2x 2x 29
116:2x 2x 29
548:2x 2x 137
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 2x 29 = 1856
Therefore, the value for common factors is 1856.
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 = 2199542303744/(2x1856)
LCM = 2199542303744/3712
LCM = 592549112
Thus, we can understand that the LCM of 362,412,232,116,548 is 592549112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 412, 232, 116, 548
1. What is the LCM of 362, 412, 232, 116, 548?
Answer: LCM of 362, 412, 232, 116, 548 is 592549112.
2. How to calculate the LCM of 362, 412, 232, 116, 548?
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 362, 412, 232, 116, 548.
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}.