LCM of 267, 445, 995, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 445, 995, 661 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 267, 445, 995, 661. So, keep reading to learn more.
Given numbers are 267,445,995,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,445,995,661 is 175604565.
Find LCM of 267,445,995,661 with Prime Factorization
| 5 | 267, 445, 995, 661 |
| 89 | 267, 89, 199, 661 |
| 3, 1, 199, 661 |
Multiply the prime numbers at the bottom and the left side.
5 x 89 x 3 x 1 x 199 x 661 = 175604565
Therefore, the lowest common multiple of 267,445,995,661 is 175604565.
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.
267 x 445 x 995 x 661 = 78144031425
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.
267 : 1, 3, 89, 267
445 : 1, 5, 89, 445
995 : 1, 5, 199, 995
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,445,995,661, is 1.
Now, the common factors can be found like this.
267:3x 89
445:5x 89
995:5x 199
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 89 = 445
Therefore, the value for common factors is 445.
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 = 78144031425/(1x445)
LCM = 78144031425/445
LCM = 175604565
Thus, we can understand that the LCM of 267,445,995,661 is 175604565.
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FAQs on LCM of 267, 445, 995, 661
1. What is the LCM of 267, 445, 995, 661?
Answer: LCM of 267, 445, 995, 661 is 175604565.
2. How to calculate the LCM of 267, 445, 995, 661?
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 267, 445, 995, 661.
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}.