LCM of 732, 342, 412, 316, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 342, 412, 316, 712 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 732, 342, 412, 316, 712. So, keep reading to learn more.
Given numbers are 732,342,412,316,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,342,412,316,712 is 60432457464.
Find LCM of 732,342,412,316,712 with Prime Factorization
| 2 | 732, 342, 412, 316, 712 |
| 2 | 366, 171, 206, 158, 356 |
| 3 | 183, 171, 103, 79, 178 |
| 61, 57, 103, 79, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 57 x 103 x 79 x 178 = 60432457464
Therefore, the lowest common multiple of 732,342,412,316,712 is 60432457464.
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.
732 x 342 x 412 x 316 x 712 = 23206063666176
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
412 : 1, 2, 4, 103, 206, 412
316 : 1, 2, 4, 79, 158, 316
712 : 1, 2, 4, 8, 89, 178, 356, 712
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,342,412,316,712, is 2.
Now, the common factors can be found like this.
732:2x 2x 3x 61
342:2x 3x 3x 19
412:2x 2x 103
316:2x 2x 79
712:2x 2x 2x 89
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 3 = 192
Therefore, the value for common factors is 192.
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 = 23206063666176/(2x192)
LCM = 23206063666176/384
LCM = 60432457464
Thus, we can understand that the LCM of 732,342,412,316,712 is 60432457464.
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FAQs on LCM of 732, 342, 412, 316, 712
1. What is the LCM of 732, 342, 412, 316, 712?
Answer: LCM of 732, 342, 412, 316, 712 is 60432457464.
2. How to calculate the LCM of 732, 342, 412, 316, 712?
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 732, 342, 412, 316, 712.
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}.