Find the LCM of 549, 804, 917, 971, 743 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 549, 804, 917, 971, 743. So, keep reading to learn more.
Given numbers are 549,804,917,971,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,804,917,971,743 is 97338470503932.
Find LCM of 549,804,917,971,743 with Prime Factorization
3 | 549, 804, 917, 971, 743 |
183, 268, 917, 971, 743 |
Multiply the prime numbers at the bottom and the left side.
3 x 183 x 268 x 917 x 971 x 743 = 97338470503932
Therefore, the lowest common multiple of 549,804,917,971,743 is 97338470503932.
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.
549 x 804 x 917 x 971 x 743 = 292015411511796
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.
549 : 1, 3, 9, 61, 183, 549
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
917 : 1, 7, 131, 917
971 : 1, 971
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,804,917,971,743, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
804:2x 2x 3x 67
917:7x 131
971:971
743:743
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 292015411511796/(1x3)
LCM = 292015411511796/3
LCM = 97338470503932
Thus, we can understand that the LCM of 549,804,917,971,743 is 97338470503932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 804, 917, 971, 743?
Answer: LCM of 549, 804, 917, 971, 743 is 97338470503932.
2. How to calculate the LCM of 549, 804, 917, 971, 743?
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 549, 804, 917, 971, 743.
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}.