LCM of 449, 748, 488, 861, 907
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 748, 488, 861, 907 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 449, 748, 488, 861, 907. So, keep reading to learn more.
Given numbers are 449,748,488,861,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,748,488,861,907 is 31997659166088.
Find LCM of 449,748,488,861,907 with Prime Factorization
| 2 | 449, 748, 488, 861, 907 |
| 2 | 449, 374, 244, 861, 907 |
| 449, 187, 122, 861, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 449 x 187 x 122 x 861 x 907 = 31997659166088
Therefore, the lowest common multiple of 449,748,488,861,907 is 31997659166088.
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.
449 x 748 x 488 x 861 x 907 = 127990636664352
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.
449 : 1, 449
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
488 : 1, 2, 4, 8, 61, 122, 244, 488
861 : 1, 3, 7, 21, 41, 123, 287, 861
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,748,488,861,907, is 1.
Now, the common factors can be found like this.
449:449
748:2x 2x 11x 17
488:2x 2x 2x 61
861:3x 7x 41
907:907
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 127990636664352/(1x4)
LCM = 127990636664352/4
LCM = 31997659166088
Thus, we can understand that the LCM of 449,748,488,861,907 is 31997659166088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 449, 748, 488, 861, 907
1. What is the LCM of 449, 748, 488, 861, 907?
Answer: LCM of 449, 748, 488, 861, 907 is 31997659166088.
2. How to calculate the LCM of 449, 748, 488, 861, 907?
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 449, 748, 488, 861, 907.
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}.