LCM of 243, 374, 374, 748, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 374, 374, 748, 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 243, 374, 374, 748, 712. So, keep reading to learn more.
Given numbers are 243,374,374,748,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,374,374,748,712 is 32353992.
Find LCM of 243,374,374,748,712 with Prime Factorization
| 2 | 243, 374, 374, 748, 712 |
| 2 | 243, 187, 187, 374, 356 |
| 11 | 243, 187, 187, 187, 178 |
| 17 | 243, 17, 17, 17, 178 |
| 243, 1, 1, 1, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 243 x 1 x 1 x 1 x 178 = 32353992
Therefore, the lowest common multiple of 243,374,374,748,712 is 32353992.
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.
243 x 374 x 374 x 748 x 712 = 18102187939968
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.
243 : 1, 3, 9, 27, 81, 243
374 : 1, 2, 11, 17, 22, 34, 187, 374
374 : 1, 2, 11, 17, 22, 34, 187, 374
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,374,374,748,712, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
374:2x 11x 17
374:2x 11x 17
748:2x 2x 11x 17
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 11x 11x 17x 17 = 559504
Therefore, the value for common factors is 559504.
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 = 18102187939968/(1x559504)
LCM = 18102187939968/559504
LCM = 32353992
Thus, we can understand that the LCM of 243,374,374,748,712 is 32353992.
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FAQs on LCM of 243, 374, 374, 748, 712
1. What is the LCM of 243, 374, 374, 748, 712?
Answer: LCM of 243, 374, 374, 748, 712 is 32353992.
2. How to calculate the LCM of 243, 374, 374, 748, 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 243, 374, 374, 748, 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}.