LCM of 748, 721, 646, 472, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 721, 646, 472, 446 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 748, 721, 646, 472, 446. So, keep reading to learn more.
Given numbers are 748,721,646,472,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,721,646,472,446 is 269635663528.
Find LCM of 748,721,646,472,446 with Prime Factorization
| 2 | 748, 721, 646, 472, 446 |
| 2 | 374, 721, 323, 236, 223 |
| 17 | 187, 721, 323, 118, 223 |
| 11, 721, 19, 118, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 11 x 721 x 19 x 118 x 223 = 269635663528
Therefore, the lowest common multiple of 748,721,646,472,446 is 269635663528.
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.
748 x 721 x 646 x 472 x 446 = 73340900479616
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
721 : 1, 7, 103, 721
646 : 1, 2, 17, 19, 34, 38, 323, 646
472 : 1, 2, 4, 8, 59, 118, 236, 472
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,721,646,472,446, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
721:7x 103
646:2x 17x 19
472:2x 2x 2x 59
446:2x 223
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 17 = 272
Therefore, the value for common factors is 272.
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 = 73340900479616/(1x272)
LCM = 73340900479616/272
LCM = 269635663528
Thus, we can understand that the LCM of 748,721,646,472,446 is 269635663528.
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FAQs on LCM of 748, 721, 646, 472, 446
1. What is the LCM of 748, 721, 646, 472, 446?
Answer: LCM of 748, 721, 646, 472, 446 is 269635663528.
2. How to calculate the LCM of 748, 721, 646, 472, 446?
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 748, 721, 646, 472, 446.
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}.