Find the LCM of 748, 861, 403, 995, 861 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, 861, 403, 995, 861. So, keep reading to learn more.
Given numbers are 748,861,403,995,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,861,403,995,861 is 258245567580.
Find LCM of 748,861,403,995,861 with Prime Factorization
3 | 748, 861, 403, 995, 861 |
7 | 748, 287, 403, 995, 287 |
41 | 748, 41, 403, 995, 41 |
748, 1, 403, 995, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 41 x 748 x 1 x 403 x 995 x 1 = 258245567580
Therefore, the lowest common multiple of 748,861,403,995,861 is 258245567580.
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 861 x 403 x 995 x 861 = 222349433686380
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
403 : 1, 13, 31, 403
995 : 1, 5, 199, 995
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,861,403,995,861, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
861:3x 7x 41
403:13x 31
995:5x 199
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 41 = 861
Therefore, the value for common factors is 861.
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 = 222349433686380/(1x861)
LCM = 222349433686380/861
LCM = 258245567580
Thus, we can understand that the LCM of 748,861,403,995,861 is 258245567580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 861, 403, 995, 861?
Answer: LCM of 748, 861, 403, 995, 861 is 258245567580.
2. How to calculate the LCM of 748, 861, 403, 995, 861?
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, 861, 403, 995, 861.
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}.